Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2016, Article ID 2764245, 17 pages
http://dx.doi.org/10.1155/2016/2764245
Research Article

Universal Superspace Unitary Operator and Nilpotent (Anti-)Dual-BRST Symmetries: Superfield Formalism

1Physics Department, Centre of Advanced Studies, Banaras Hindu University, Varanasi 221 005, India
2DST Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi 221 005, India

Received 1 June 2016; Accepted 12 October 2016

Academic Editor: Edward Sarkisyan-Grinbaum

Copyright © 2016 T. Bhanja et al. 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. P. A. M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School of Science, Yeshiva University Press, New York, NY, USA, 1964.
  2. K. Sundermeyer, Constrained Dynamics, vol. 169 of Lecture Notes in Physics, Springer, Berlin, Germany, 1982. View at MathSciNet
  3. G. Curci and R. Ferrari, “Slavnov transformations and supersymmetry,” Physics Letters B, vol. 63, p. 91, 1976. View at Google Scholar
  4. J. Thierry-Mieg, “Geometrical reinterpretation of Faddeev-Popov ghost particles and BRS transformations,” Journal of Mathematical Physics, vol. 21, no. 12, pp. 2834–2838, 1980. View at Publisher · View at Google Scholar · View at MathSciNet
  5. M. Quiros, F. J. De Urries, J. Hoyos, M. L. Mazon, and E. Rodrigues, “Geometrical structure of Faddeev-Popov fields and invariance properties of gauge theories,” Journal of Mathematical Physics, vol. 22, no. 8, p. 1767, 1981. View at Publisher · View at Google Scholar
  6. L. Bonora and M. Tonin, “Superfield formulation of extended BRS symmetry,” Physics Letters B, vol. 98, no. 1-2, pp. 48–50, 1981. View at Publisher · View at Google Scholar · View at Scopus
  7. L. Bonora, P. Pasti, and M. Tonin, “Geometric description of extended BRS symmetry in superfield formulation,” Il Nuovo Cimento A, vol. 63, no. 3, pp. 353–364, 1981. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. L. Bonora and P. Cotta-Ramusino, “Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations,” Communications in Mathematical Physics, vol. 87, no. 4, pp. 589–603, 1983. View at Publisher · View at Google Scholar
  9. R. Delbourgo and P. D. Jarvis, “Extended BRS invariance and osp(4/2) supersymmetry,” Journal of Physics A: Mathematical and General, vol. 15, p. 611, 1981. View at Google Scholar
  10. R. Delbourgo, P. D. Jarvis, and G. Thompson, “Local OSp(4/2) supersymmetry and extended BRS transformations for gravity,” Physics Letters B, vol. 109, no. 1-2, pp. 25–27, 1982. View at Publisher · View at Google Scholar
  11. R. P. Malik, “Abelian 2-form gauge theory: superfield formalism,” The European Physical Journal C, vol. 60, no. 3, pp. 457–470, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  12. R. P. Malik, “Unique nilpotent symmetry transformations for matter fields in QED: augmented superfield formalism,” The European Physical Journal C, vol. 47, no. 1, pp. 227–234, 2006. View at Publisher · View at Google Scholar
  13. S. Gupta and R. P. Malik, “Rigid rotor as a toy model for Hodge theory,” The European Physical Journal C, vol. 68, no. 1, pp. 325–335, 2010. View at Publisher · View at Google Scholar
  14. T. Bhanja, D. Shukla, and R. P. Malik, “Novel symmetries in the modified version of two dimensional Proca theory,” The European Physical Journal C, vol. 73, article 2535, 2013. View at Publisher · View at Google Scholar
  15. A. Shukla, S. Krishna, and R. P. Malik, “Augmented superfield approach to nilpotent symmetries of the modified version of 2D Proca theory,” Advances in High Energy Physics, vol. 2015, Article ID 258536, 21 pages, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. S. Gupta, R. Kumar, and R. P. Malik, “On free 4D Abelian 2-form and anomalous 2D Abelian 1-form gauge theories,” The European Physical Journal C, vol. 65, article 311, 2010. View at Publisher · View at Google Scholar
  17. D. Shukla, T. Bhanja, and R. P. Malik, “Self-dual chiral boson: augmented superfield approach,” The European Physical Journal C, vol. 74, article 3025, 2014. View at Publisher · View at Google Scholar
  18. T. Bhanja, N. Srinivas, and R. P. Malik, “Universal superspace unitary operator for some interesting Abelian models: superfield approach,” Advances in High Energy Physics, vol. 2016, Article ID 3673206, 11 pages, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  19. T. Bhanja, D. Shukla, and R. P. Malik, “Superspace unitary operator in superfield approach to non-abelian gauge theory with Dirac fields,” Advances in High Energy Physics, vol. 2016, Article ID 6367545, 11 pages, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  20. R. P. Malik, “Hodge duality operation and its physical applications on supermanifolds,” International Journal of Modern Physics A, vol. 21, no. 16, pp. 3307–3336, 2006. View at Publisher · View at Google Scholar
  21. D. Shukla, T. Bhanja, and R. P. Malik, “Supervariable approach to the nilpotent symmetries for a toy model of the hodge theory,” Advances in High Energy Physics, vol. 2016, Article ID 2618150, 13 pages, 2016. View at Publisher · View at Google Scholar
  22. D. Shukla, T. Bhanja, and R. P. Malik, “Superspace unitary operator in QED with Dirac and complex scalar fields: superfield approach,” Europhysics Letters, vol. 112, no. 1, Article ID 11001, 2015. View at Publisher · View at Google Scholar
  23. N. Nakanishi and I. Ojima, Covariant Operator Formalism of Gauge Theory and Quantum Gravity, World Scientific, Singapore, 1990.
  24. R. Kumar, S. Gupta, and R. P. Malik, “Basic brackets of a 2D model for the hodge theory without its canonical conjugate momenta,” International Journal of Theoretical Physics, vol. 55, no. 6, pp. 2857–2869, 2016. View at Publisher · View at Google Scholar
  25. N. Srinivas, A. Shukla, and R. P. Malik, “N=2 supersymmetric harmonic oscillator: basic brackets without canonical conjugate momenta,” International Journal of Modern Physics A, vol. 30, no. 30, Article ID 1550166, 12 pages, 2015. View at Publisher · View at Google Scholar
  26. R. P. Malik, “New topological field theories in two dimensions,” Journal of Physics A: Mathematical and General, vol. 34, no. 19, pp. 4167–4181, 2001. View at Publisher · View at Google Scholar · View at MathSciNet