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Advances in High Energy Physics
Volume 2019, Article ID 2635917, 27 pages
https://doi.org/10.1155/2019/2635917
Review Article

Steady States, Thermal Physics, and Holography

Theory Division, Saha Institute of Nuclear Physics, HBNI, 1/AF Bidhannagar, Kolkata 700064, India

Correspondence should be addressed to Arnab Kundu; moc.liamg@udnuk.banra

Received 16 November 2018; Accepted 20 January 2019; Published 6 March 2019

Guest Editor: Cynthia Keeler

Copyright © 2019 Arnab Kundu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Linked References

  1. R. P. Feynman and J. Vernon, “The theory of a general quantum system interacting with a linear dissipative system,” Annals of Physics, vol. 24, pp. 118–173, 1963. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. J. Schwinger, “Brownian motion of a quantum oscillator,” Journal of Mathematical Physics, vol. 2, pp. 407–432, 1961. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. L. Keldysh, “Diagram technique for nonequilibrium processes,” Soviet Physics—Journal of Experimental and Theoretical Physics, vol. 47, pp. 1515–1527, 1964. View at Google Scholar · View at MathSciNet
  4. K.-c. Chou, Z.-b. Su, B. L. Hao, and L. Yu, “Equilibrium and nonequilibrium formalisms made unified,” Physics Reports, vol. 118, no. 1-2, pp. 1–131, 1985. View at Publisher · View at Google Scholar · View at MathSciNet
  5. N. P. Landsman and C. G. van Weert, “Real- and imaginary-time field theory at finite temperature and density,” Physics Reports, vol. 145, no. 3-4, pp. 141–249, 1987. View at Publisher · View at Google Scholar · View at MathSciNet
  6. A. Kamenev and A. Levchenko, “Keldysh technique and non-linear σ-model: basic principles and applications,” Advances in Physics, vol. 58, no. 3, pp. 197–319, 2009. View at Publisher · View at Google Scholar
  7. F. M. Haehl, R. Loganayagam, and M. Rangamani, “Schwinger-Keldysh formalism. Part I: BRST symmetries and superspace,” Journal of High Energy Physics, vol. 2017, no. 06, article 069, 2017. View at Publisher · View at Google Scholar · View at MathSciNet
  8. F. M. Haehl, R. Loganayagam, and M. Rangamani, “Schwinger-Keldysh formalism. Part II: thermal equivariant cohomology,” Journal of High Energy Physics, vol. 2017, no. 06, article 070, 2017. View at Publisher · View at Google Scholar · View at MathSciNet
  9. F. M. Haehl, R. Loganayagam, p. Narayan, and M. Rangamani, “Classification of out-of-time-order correlators,” SciPost Physics, vol. 6, no. 1, 2019. View at Publisher · View at Google Scholar
  10. Y. Takahashi and H. Umezawa, “Thermo field dynamics,” Collective Phenomena, vol. 2, no. 55, 1975. View at Google Scholar · View at MathSciNet
  11. W. Israel, “Thermo-field dynamics of black holes,” Physics Letters A, vol. 57, no. 2, pp. 107–110, 1976. View at Publisher · View at Google Scholar
  12. J. Maldacena, “Eternal black holes in anti-de Sitter,” Journal of High Energy Physics, vol. 2003, no. 04, article 021, 2003. View at Publisher · View at Google Scholar
  13. J. Maldacena and L. Susskind, “Cool horizons for entangled black holes,” Fortschritte der Physik/Progress of Physics, vol. 61, no. 9, pp. 781–811, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. K. Aamodt et al., “Elliptic flow of charged particles in Pb-Pb collisions at 2.76 TeV,” Physical Review Letters, vol. 2010, no. 5, Article ID 252302, 2010. View at Google Scholar
  15. K. M. O'Hara, S. L. Hemmer, M. E. Gehm, S. R. Granade, and J. E. Thomas, “Observation of a strongly interacting degenerate fermi gas of atoms,” Science, vol. 298, no. 5601, pp. 2179–2182, 2002. View at Publisher · View at Google Scholar · View at Scopus
  16. J. Maldacena, “The large limit of superconformal field theories and supergravity,” Advances in Theoretical and Mathematical Physics, vol. 38, no. 1113, 1999. View at Google Scholar · View at MathSciNet
  17. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Physics Letters B, vol. 428, no. 1-2, pp. 105–114, 1998. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. E. Witten, “Anti de Sitter space and holography,” Advances in Theoretical and Mathematical Physics, vol. 2, no. 2, pp. 253–291, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  19. O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, “Large N field theories, string theory and gravity,” Physics Reports, vol. 323, no. 3-4, pp. 183–386, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  20. D. T. Son and A. O. Starinets, “Minkowski-space correlators in AdS/CFT correspondence: recipe and applications,” Journal of High Energy Physics, vol. 2002, no. 09, article 042, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  21. C. P. Herzog and D. T. Son, “Schwinger-Keldysh propagators from AdS/CFT correspondence,” Journal of High Energy Physics, vol. 2003, no. 03, article 046, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  22. N. Iqbal and H. Liu, “Real-time response in AdS/CFT with application to spinors,” Fortschritte der Physik/Progress of Physics, vol. 57, no. 5-7, pp. 367–384, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  23. K. Skenderis and B. C. van Rees, “Real-time gauge/gravity duality,” Physical Review Letters, vol. 101, no. 8, Article ID 081601, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  24. K. Skenderis and B. C. van Rees, “Real-time gauge/gravity duality: prescription, renormalization and examples,” Journal of High Energy Physics, vol. 2009, no. 05, article 085, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  25. J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal, and U. A. Wiedemann, Gauge/String Duality, Hot QCD and Heavy Ion Collisions, Cambridge University Press, Cambridge, UK, 2014. View at Publisher · View at Google Scholar
  26. O. DeWolfe, S. S. Gubser, C. Rosen, and D. Teaney, “Heavy ions and string theory,” Progress in Particle and Nuclear Physics, vol. 75, pp. 86–132, 2014. View at Publisher · View at Google Scholar
  27. S. S. Gubser and A. Karch, “From gauge-string duality to strong interactions:a pedestrian's guide,” Annual Review of Nuclear and Particle Science, vol. 59, pp. 145–168, 2009. View at Publisher · View at Google Scholar
  28. S. A. Hartnoll, “Lectures on holographic methods for condensed matter physics,” Classical and Quantum Gravity, vol. 26, no. 22, Article ID 224002, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  29. S. A. Hartnoll, A. Lucas, and S. Sachdev, “Holographic quantum matter,” https://arxiv.org/abs/1612.07324.
  30. S. R. Das, “Old and new scaling laws in quantum quench,” Progress of Theoretical and Experimental Physics, vol. 2016, no. 12, Article ID 12C107, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  31. V. E. Hubeny and M. Rangamani, “A holographic view on physics out of equilibrium,” Advances in High Energy Physics, vol. 2010, Article ID 297916, 84 pages, 2010. View at Publisher · View at Google Scholar
  32. A. G. Green and S. L. Sondhi, “Nonlinear quantum critical transport and the schwinger mechanism for a superfluid-mott-insulator transition of bosons,” Physical Review Letters, vol. 95, Article ID 267001, 2005. View at Google Scholar
  33. A. G. Green, J. E. Moore, S. L. Sondhi, and A. Vishwanath, “Current noise in the vicinity of the 2D superconductor-insulator quantum critical point,” Physical Review Letters, vol. 97, no. 22, Article ID 227003, 2006. View at Publisher · View at Google Scholar
  34. A. Karch and S. L. Sondhi, “Non-linear finite frequency quantum critical transport from AdS/CFT,” Journal of High Energy Physics, vol. 2011, no. 01, article 149, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  35. S. Kirchner and Q. Si, “Quantum criticality out of equilibrium: steady state in a magnetic single-electron transistor,” Physical Review Letters, vol. 103, no. 20, Article ID 206401, 2009. View at Google Scholar
  36. L. F. Cugliandolo, J. Kurchan, and L. Peliti, “Energy flow, partial equilibration, and effective temperatures in systems with slow dynamics,” Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, vol. 55, no. 4, pp. 3898–3914, 1997. View at Publisher · View at Google Scholar
  37. J. Babington, J. Erdmenger, N. Evans, Z. Guralnik, and I. Kirsch, “Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 69, no. 6, Article ID 066007, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  38. D. Mateos, R. C. Myers, and R. M. Thomson, “Holographic phase transitions with fundamental matter,” Physical Review Letters, vol. 97, no. 9, Article ID 091601, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  39. T. Albash, V. Filev, C. V. Johnson, and A. Kundu, “Topology-changing first order phase transition and the dynamics of flavor,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 77, no. 6, Article ID 066004, 2008. View at Publisher · View at Google Scholar
  40. A. Karch and A. O'Bannon, “Chiral transition of super Yang-Mills theory with flavor on a 3-sphere,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 74, no. 8, Article ID 085033, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  41. S. S. Gubser, “Drag force in AdS/CFT,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 74, no. 12, Article ID 126005, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  42. C. P. Herzog, A. Karch, P. Kovtun, C. Kozcaz, and L. G. Yaffe, “Energy loss of a heavy quark moving through N = 4 supersymmetric Yang Mills Plasma,” Journal of High Energy Physics, vol. 2006, no. 7, article 013, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  43. K. Peeters and M. Zamaklar, “Dissociation by acceleration,” Journal of High Energy Physics, vol. 2008, no. 1, article 038, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  44. V. E. Hubeny and G. W. Semenoff, “String worldsheet for accelerating quark,” Journal of High Energy Physics, vol. 2015, no. 10, article 071, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  45. J. de Boer, V. E. Hubeny, M. Rangamania, and M. Shigemori, “Brownian motion in AdS/CFT,” Journal of High Energy Physics, vol. 2009, no. 07, article 094, 2009. View at Publisher · View at Google Scholar
  46. D. T. Son and D. Teaney, “Thermal noise and stochastic strings in AdS/CFT,” Journal of High Energy Physics, vol. 2009, no. 7, article 021, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  47. G. C. Giecold, E. Iancu, and A. H. Mueller, “Stochastic trailing string and Langevin dynamics from AdS/CFT,” Journal of High Energy Physics, vol. 2009, no. 7, article 33, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  48. J. Casalderrey-Solana, K.-Y. Kim, and D. Teaney, “Stochastic string motion above and below the world sheet horizon,” Journal of High Energy Physics, vol. 2009, no. 12, article 066, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  49. M. Chernicoff, J. A. García, A. Güijosa, and J. F. Pedraza, “Holographic lessons for quark dynamics,” Journal of Physics G: Nuclear and Particle Physics, vol. 39, no. 5, Article ID 054002, 2012. View at Publisher · View at Google Scholar
  50. M. Chernicoff, A. Güijosa, and J. F. Pedraza, “Holographic EPR pairs, wormholes and radiation,” Journal of High Energy Physics, vol. 2013, no. 10, article 211, 2013. View at Publisher · View at Google Scholar
  51. K. Jensen and A. Karch, “Holographic dual of an Einstein-Podolsky-Rosen pair has a wormhole,” Physical Review Letters, vol. 111, no. 21, Article ID 211602, 2013. View at Publisher · View at Google Scholar
  52. J. Sonner, “Holographic schwinger effect and the geometry of entanglement,” Physical Review Letters, vol. 111, no. 21, Article ID 211603, 2013. View at Publisher · View at Google Scholar
  53. K. Jensen and J. Sonner, “Wormholes and entanglement in holography,” International Journal of Modern Physics D, vol. 23, no. 12, Article ID 1442003, 2014. View at Publisher · View at Google Scholar
  54. S. Nakamura, “Nonequilibrium phase transitions and nonequilibrium critical point from AdS/CFT,” Physical Review Letters, vol. 109, no. 12, Article ID 120602, 2012. View at Publisher · View at Google Scholar
  55. S. Nakamura and H. Ooguri, “Out of equilibrium temperature from holography,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 88, no. 12, Article ID 126003, 2013. View at Publisher · View at Google Scholar
  56. H. Hoshino and S. Nakamura, “Effective temperature of nonequilibrium dense matter in holography,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 91, no. 2, Article ID 026009, 2015. View at Publisher · View at Google Scholar
  57. M. Matsumoto and S. Nakamura, “Critical exponents of nonequilibrium phase transitions in AdS/CFT correspondence,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 98, no. 10, 2018. View at Publisher · View at Google Scholar
  58. H. Hoshino and S. Nakamura, “Lorentz transformation of temperature and effective temperature,” 2018, https://arxiv.org/abs/1807.10132.
  59. S. R. Das, T. Nishioka, and T. Takayanagi, “Probe branes, time-dependent couplings and thermalization in AdS/CFT,” Journal of High Energy Physics, vol. 2010, no. 7, article 071, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  60. M. Ali-Akbari and H. Ebrahim, “Meson thermalization in various dimensions,” Journal of High Energy Physics, vol. 2012, no. 4, article 145, 2012. View at Publisher · View at Google Scholar
  61. M. Ali-Akbari and H. Ebrahim, “Thermalization in external magnetic field,” Journal of High Energy Physics, vol. 2013, no. 3, article 045, 2013. View at Publisher · View at Google Scholar
  62. https://www.physik.uni-augsburg.de/theo1/hanggi/Casas.pdf.
  63. L. F. Cugliandolo, “The effective temperature,” Journal of Physics A: Mathematical and General, vol. 44, no. 48, Article ID 483001, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  64. S. Caron-Huot, P. M. Chesler, and D. Teaney, “Fluctuation, dissipation, and thermalization in non-equilibrium AdS 5 black hole geometries,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 84, no. 2, Article ID 026012, 2011. View at Publisher · View at Google Scholar
  65. P. Castorina, D. Kharzeev, and H. Satz, “Thermal hadronization and Hawking–Unruh radiation in QCD,” The European Physical Journal C, vol. 52, no. 1, pp. 187–201, 2007. View at Publisher · View at Google Scholar
  66. M. Novello, V. A. De Lorenci, J. M. Salim, and R. Klippert, “Geometrical aspects of light propagation in nonlinear electrodynamics,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 61, no. 4, Article ID 045001, 2000. View at Publisher · View at Google Scholar
  67. D. Kharzeev and K. Tuchin, “From color glass condensate to quark-gluon plasma through the event horizon,” Nuclear Physics A, vol. 753, no. 3-4, pp. 316–334, 2005. View at Publisher · View at Google Scholar · View at Scopus
  68. D. Kharzeev, E. Levin, and K. Tuchin, “Multiparticle production and thermalization in high-energy QCD,” Physical Review C: Nuclear Physics, vol. 75, Article ID 044903, 2007. View at Publisher · View at Google Scholar
  69. P. Braun-Munzinger, K. Redlich, and J. Stachel, “Particle production in heavy ion collisions,” in Quark–Gluon Plasma, R. C. Hwa and X.-N. Wang, Eds., pp. 491–599, 2004. View at Google Scholar
  70. J. Cleymans and H. Satz, “Thermal hadron production in high energy heavy ion collisions,” Zeitschrift für Physik C Particles and Fields, vol. 57, no. 1, pp. 135–147, 1993. View at Publisher · View at Google Scholar
  71. F. Becattini and U. W. Heinz, “Thermal hadron production in p p and p anti-p collisions,” Zeitschrift für Physik C Particles and Fields, vol. 76, no. 2, pp. 269–286, 1997. View at Publisher · View at Google Scholar
  72. G. ’t Hooft, “A planar diagram theory for strong interactions,” Nuclear Physics B, vol. 72, no. 3, pp. 461–473, 1974. View at Publisher · View at Google Scholar · View at Scopus
  73. G. 't Hooft, “Dimensional reduction in quantum gravity,” Classical and Quantum Gravity, vol. 284, Article ID 930308, 1993. View at Google Scholar · View at MathSciNet
  74. L. Susskind, “The world as a hologram,” Journal of Mathematical Physics, vol. 36, no. 11, article 6377, 1995. View at Publisher · View at Google Scholar · View at MathSciNet
  75. N. Itzhaki, J. M. Maldacena, J. Sonnenschein, and S. Yankielowicz, “Supergravity and the large limit of theories with sixteen supercharges,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 58, no. 4, 046004, 11 pages, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  76. A. Karch and E. Katz, “Adding flavor to AdS/CFT,” Journal of High Energy Physics, vol. 2002, no. 6, article 43, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  77. M. Chernicoff and A. Paredes, “Accelerated detectors and worldsheet horizons in AdS/CFT,” Journal of High Energy Physics, vol. 2011, no. 3, article 063, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  78. E. Caceres, M. Chernicoff, A. Guijosa, and J. F. Pedraza, “Quantum fluctuations and the Unruh effect in strongly-coupled conformal field theories,” Journal of High Energy Physics, vol. 2010, no. 6, article 078, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  79. C. Fefferman and C. R. Graham, “Conformal invariants,” Élie Cartan et les Mathématiques d’Aujourd’hui, vol. 95, 1985. View at Google Scholar
  80. S. de Haro, K. Skenderis, and S. N. Solodukhin, “Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence,” Communications in Mathematical Physics, vol. 217, no. 3, pp. 595–622, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  81. K. Skenderis, “Asymptotically anti-de Sitter spacetimes and their stress energy tensor,” International Journal of Modern Physics A - World Scientific, vol. 16, no. 5, pp. 740–749, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  82. K. Skenderis, “Lecture notes on holographic renormalization,” Classical and Quantum Gravity, vol. 19, no. 22, pp. 5849–5876, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  83. A. Mikhailov, “Nonlinear waves in AdS/CFT correspondence,” https://arxiv.org/abs/hep-th/0305196.
  84. M. Chernicoff and A. Güijosa, “Acceleration, energy loss and screening in strongly-coupled gauge theories,” Journal of High Energy Physics, vol. 2008, no. 06, article 005, 2008. View at Publisher · View at Google Scholar
  85. M. Chernicoff, J. A. Garcia, and A. Guijosa, “Generalized Lorentz-Dirac equation for a strongly coupled gauge theory,” Physical Review Letters, vol. 102, no. 24, Article ID 241601, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  86. M. Chernicoff, J. A. Garcia, and A. Guijosa, “A tail of a quark in N=4 SYM,” Journal of High Energy Physics, vol. 2009, no. 9, article 080, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  87. J. Penedones, “TASI Lectures on AdS/CFT,” World Scientific, pp. 75–136, 2017. View at Publisher · View at Google Scholar
  88. B. W. Xiao, “On the exact solution of the accelerating string in AdS(5) space,” Physics Letters B, vol. 665, no. 4, pp. 173–177, 2008. View at Publisher · View at Google Scholar
  89. C. Athanasiou, P. M. Chesler, H. Liu, D. Nickel, and K. Rajagopal, “Synchrotron radiation in strongly coupled conformal field theories,” Physical Review D, vol. 84, Article ID 126001, 2010. View at Publisher · View at Google Scholar
  90. P. C. Davies, T. Dray, and C. A. Manogue, “Detecting the rotating quantum vacuum,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 53, no. 8, pp. 4382–4387, 1996. View at Publisher · View at Google Scholar · View at MathSciNet
  91. Y. Sekino and L. Susskind, “Fast scramblers,” Journal of High Energy Physics, vol. 2008, no. 10, article 065, 2008. View at Publisher · View at Google Scholar
  92. R. Bhattacharya, D. P. Jatkar, and A. Kundu, “Chaotic correlation functions with complex fermions,” https://arxiv.org/abs/1810.13217.
  93. J. Maldacena, S. H. Shenker, and D. Stanford, “A bound on chaos,” Journal of High Energy Physics, vol. 2016, no. 08, article 106, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  94. S. H. Shenker and D. Stanford, “Black holes and the butterfly effect,” Journal of High Energy Physics, vol. 2014, no. 03, article 067, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  95. S. H. Shenker and D. Stanford, “Multiple shocks,” Journal of High Energy Physics, vol. 2014, no. 12, article 046, 2014. View at Publisher · View at Google Scholar
  96. S. H. Shenker and D. Stanford, “Stringy effects in scrambling,” Journal of High Energy Physics, vol. 2015, no. 05, article 132, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  97. K. Murata, “Fast scrambling in holographic Einstein-Podolsky-Rosen pair,” Journal of High Energy Physics, vol. 2017, no. 11, article 049, 2017. View at Publisher · View at Google Scholar · View at MathSciNet
  98. J. de Boer, E. Llabrés, J. F. Pedraza, and D. Vegh, “Chaotic strings in AdS/CFT,” Physical Review Letters, vol. 120, no. 20, Article ID 201604, 2018. View at Publisher · View at Google Scholar
  99. A. Banerjee, A. Kundu, and R. R. Poojary, “Strings, Branes, Schwarzian Action and Maximal Chaos,” 2018, https://arxiv.org/abs/1809.02090.
  100. A. Banerjee, A. Kundu, and R. Poojary, “Maximal Chaos from Strings, Branes And Schwarzian Action,” https://arxiv.org/abs/1811.04977.
  101. J. Maldacena, D. Stanford, and Z. Yang, “Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space,” PTEP. Progress of Theoretical and Experimental Physics, vol. 2016, no. 12, Article ID 12C104, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  102. T. Albash, V. Filev, C. V. Johnson, and A. Kundu, “Quarks in an external electric field in finite temperature large N gauge theory,” Journal of High Energy Physics, vol. 2008, no. 8, article 092, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  103. R. C. Myers, A. O. Starinets, and R. M. Thomson, “Holographic spectral functions and diffusion constants for fundamental matter,” Journal of High Energy Physics. A SISSA Journal, vol. 2007, no. 11, article 091, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  104. A. Karch and A. O'Bannon, “Metallic AdS/CFT,” Journal of High Energy Physics, vol. 2007, no. 9, article 024, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  105. T. Albash, V. Filev, C. V. Johnson, and A. Kundu, “Finite temperature large N gauge theory with quarks in an external magnetic field,” Journal of High Energy Physics, vol. 2008, no. 7, article 080, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  106. J. Erdmenger, R. Meyer, and J. P. Shock, “AdS/CFT with flavour in electric and magnetic Kalb-Ramond fields,” Journal of High Energy Physics. A SISSA Journal, vol. 2007, no. 12, article 091, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  107. I. Kirsch, “Spectroscopy of fermionic operators in AdS/CFT,” Journal of High Energy Physics, vol. 2006, no. 09, article 052, 2006. View at Publisher · View at Google Scholar
  108. N. Seiberg and E. Witten, “String theory and noncommutative geometry,” Journal of High Energy Physics, vol. 1999, no. 09, article 032, 1999. View at Publisher · View at Google Scholar
  109. A. Kundu, “Effective temperature in steady-state dynamics from holography,” Journal of High Energy Physics, vol. 2015, no. 9, article 042, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  110. K.-Y. Kim, J. P. Shock, and J. Tarrio, “The open string membrane paradigm with external electromagnetic fields,” Journal of High Energy Physics, vol. 2011, no. 6, article 017, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  111. O. DeWolfe, D. Z. Freedman, and H. Ooguri, “Holography and defect conformal field theories,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 66, no. 2, Article ID 025009, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  112. V. G. Filev, “Hot defect superconformal field theory in an external magnetic field,” Journal of High Energy Physics, vol. 2009, no. 11, article 123, 2009. View at Publisher · View at Google Scholar
  113. J. Sonner and A. G. Green, “Hawking radiation and nonequilibrium quantum critical current noise,” Physical Review Letters, vol. 109, Article ID 091601, 2012. View at Publisher · View at Google Scholar
  114. O. Bergman, G. Lifschytz, and M. Lippert, “Response of holographic QCD to electric and magnetic fields,” Journal of High Energy Physics, vol. 2008, no. 05, article 007, 2008. View at Publisher · View at Google Scholar
  115. C. V. Johnson and A. Kundu, “External fields and chiral symmetry breaking in the Sakai-SUGimoto model,” Journal of High Energy Physics, vol. 2008, no. 12, article 053, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  116. A. Kundu and S. Kundu, “Steady-state physics, effective temperature dynamics in holography,” Physical Review D, vol. 91, no. 4, Article ID 046004, 2015. View at Google Scholar
  117. G. W. Gibbons, “Aspects of born-infeld theory and string/M theory,” Revista Mexicana de Física, vol. 49S1, no. 19, 2003. View at Google Scholar · View at MathSciNet
  118. G. W. Gibbons and C. A. Herdeiro, “Born-infeld theory and stringy causality,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 63, Article ID 064006, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  119. D. Mateos, S. Matsuura, R. C. Myers, and R. M. Thomson, “Holographic phase transitions at finite chemical potential,” Journal of High Energy Physics, vol. 2007, no. 11, article 085, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  120. N. Evans, A. Gebauer, and K. Kim, “E, B, μ, T phase structure of the D3/D7 holographic dual,” Journal of High Energy Physics, vol. 2011, no. 5, article 067, 2011. View at Publisher · View at Google Scholar
  121. C. V. Johnson and A. Kundu, “Meson spectra and magnetic fields in the Sakai-Sugimoto model,” Journal of High Energy Physics, vol. 2009, no. 07, article 103, 2009. View at Publisher · View at Google Scholar
  122. O. Bergman, G. Lifschytz, and M. Lippert, “Magnetic properties of dense holographic QCD,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 79, Article ID 105024, 2009. View at Publisher · View at Google Scholar
  123. E. G. Thompson and D. T. Son, “Magnetized baryonic matter in holographic QCD,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 78, Article ID 066007, 2008. View at Publisher · View at Google Scholar
  124. A. O’Bannon, “Hall conductivity of flavor fields from AdS/CFT,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 76, Article ID 086007, 2007. View at Publisher · View at Google Scholar
  125. S. A. Hartnoll, J. Polchinski, E. Silverstein, and D. Tong, “Towards strange metallic holography,” Journal of High Energy Physics, vol. 2010, no. 4, article 120, 2010. View at Publisher · View at Google Scholar
  126. F. Bigazzi, A. L. Cotrone, and J. Tarrío, “Charged D3-D7 plasmas: novel solutions, extremality and stability issues,” Journal of High Energy Physics, vol. 2013, no. 7, article 074, 2013. View at Publisher · View at Google Scholar
  127. A. Banerjee, A. Kundu, and S. Kundu, “Emergent horizons and causal structures in holography,” Journal of High Energy Physics, vol. 2016, no. 9, article 166, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  128. A. Banerjee, A. Kundu, and S. Kundu, “Flavour fields in steady state: stress tensor and free energy,” Journal of High Energy Physics, vol. 2016, article 102, no. 2, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  129. A. Karch, A. O'Bannon, and E. Thompson, “The stress-energy tensor of flavor fields from AdS/CFT,” Journal of High Energy Physics, vol. 2009, no. 4, article 021, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  130. M. S. Alam, V. S. Kaplunovsky, and A. Kundu, “Chiral symmetry breaking and external fields in the Kuperstein-Sonnenschein model,” Journal of High Energy Physics, vol. 2012, no. 4, article 111, 2012. View at Google Scholar · View at MathSciNet
  131. C. Barceló, S. Liberati, and M. Visser, “Analogue gravity,” Living Reviews in Relativity, vol. 8, no. 12, 2005. View at Publisher · View at Google Scholar
  132. S. S. Gubser, S. S. Pufu, and A. Yarom, “Sonic booms and diffusion wakes generated by a heavy quark in thermal AdS/CFT,” Physical Review Letters, vol. 100, Article ID 012301, 2008. View at Publisher · View at Google Scholar
  133. S. S. Gubser, S. S. Pufu, and A. Yarom, “Shock waves from heavy-quark mesons in AdS/CFT,” Journal of High Energy Physics, vol. 2008, no. 7, article 108, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  134. B. Sahoo and H.-U. Yee, “Electrified plasma in AdS/CFT correspondence,” Journal of High Energy Physics, vol. 2010, no. 11, article 095, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  135. L. Susskind, “Computational complexity and black hole horizons,” Fortschritte der Physik/Progress of Physics, vol. 64, no. 1, pp. 24–43, 2016. View at Publisher · View at Google Scholar · View at MathSciNet