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Advances in High Energy Physics
Volume 2013, Article ID 295842, 10 pages
http://dx.doi.org/10.1155/2013/295842
Research Article

Partial Resolution of Complex Cones over Fano

Department of Physics, Indian Institute of Technology Bombay, Mumbai 400076, India

Received 8 February 2013; Revised 17 April 2013; Accepted 18 April 2013

Academic Editor: George Siopsis

Copyright © 2013 Siddharth Dwivedi and P. Ramadevi. 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.

Linked References

  1. J. Bagger and N. Lambert, “Modeling multiple M2-branes,” Physical Review D, vol. 75, no. 4, p. 7, article 045020, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  2. J. Bagger and N. Lambert, “Gauge symmetry and supersymmetry of multiple M2-branes,” Physical Review D, vol. 77, no. 6, p. 6, article 065008, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  3. J. Bagger and N. Lambert, “Comments on multiple M2-branes,” Journal of High Energy Physics, vol. 105, no. 2, p. 15, article 0802, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  4. A. Gustavsson, “Algebraic structures on parallel M2 branes,” Nuclear Physics B, vol. 811, no. 1-2, pp. 66–76, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. A. Gustavsson, “Selfdual strings and loop space Nahm equations,” Journal of High Energy Physics, no. 4, p. 26, article 083, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. M. Van Raamsdonk, “Comments on the Bagger-Lambert theory and multiple M2-branes,” Journal of High Energy Physics, vol. 105, p. 9, article 0805, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  7. O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” Journal of High Energy Physics, vol. 10, article 091, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. I. R. Klebanov, “M2-branes and AdS/CFT,” International Journal of Modern Physics A, vol. 25, no. 2-3, pp. 332–350, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. D. Martelli and J. Sparks, “Moduli spaces of Chern-Simons quiver gauge theories and AdS 4/ CFT 3,” Physical Review D, vol. 78, no. 12, article 126005, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  10. B. Feng, A. Hanany, and Y.-H. He, “D-brane gauge theories from toric singularities and toric duality,” Nuclear Physics B, vol. 595, no. 1-2, pp. 165–200, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. A. Hanany and K. D. Kennaway, “Dimer models and toric diagrams,” Journal of High Energy Physics, 26, article 029 pages, 2005. View at Google Scholar
  12. S. Franco, A. Hanany, K. D. Kennaway, D. Vegh, and B. Wecht, “Brane dimers and quiver gauge theories,” Journal of High Energy Physics, no. 1, p. 48, article 096, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  13. A. Hanany and A. Zaffaroni, “Tilings, Chern-Simons theories and M2 branes,” Journal of High Energy Physics, no. 10, p. 19, article 111, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. K. Ueda and M. Yamazaki, “Toric Calabi-Yau four-folds dual to Chern-Simons-matter theories,” Journal of High Energy Physics., no. 12, p. 20, article 045, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  15. A. Hanany, D. Vegh, and A. Zaffaroni, “Brane tilings and M2 branes,” Journal of High Energy Physics, no. 3, p. 45, article 012, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  16. S. Franco, A. Hanany, J. Park, and D. Rodríguez-Gómez, “Towards M2-brane theories for generic toric singularities,” Journal of High Energy Physics, vol. 110, p. 29, article 0812, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  17. A. Hanany and Y. H. He, “M2-branes and Quiver Chern-Simons: A Taxonomic Study,” http://arxiv.org/abs/0811. 4044.
  18. J. Davey, A. Hanany, N. Mekareeya, and G. Torri, “Phases of M2-brane theories,” Journal of High Energy Physics, vol. 25, article 0906, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  19. J. Davey, A. Hanany, N. Mekareeya, and G. Torri, “Higgsing M2-brane Theories,” http://arxiv.org/abs/0908.4033.
  20. J. Davey, A. Hanany, N. Mekareeya, and G. Torri, “M2-branes and Fano 3-folds,” http://arxiv.org/abs/1103.0553.
  21. K. Watanabe and M. Watanabe, “The classification of Fano 3-folds with torus embeddings,” Tokyo Journal of Mathematics, vol. 5, no. 1, pp. 37–48, 1982. View at Google Scholar
  22. V. V. Batyrev, “Toroidal Fano 3-folds,” Mathematics of the USSR-Izvestiya, vol. 19, no. 13, 1982. View at Google Scholar
  23. S. Dwivedi and P. Ramadevi, “Inverse algorithm and M2-brane theories,” Journal of High Energy Physics, vol. 1111, no. 11, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  24. P. Agarwal, P. Ramadevi, and T. Sarkar, “A note on dimer models and D-brane gauge theories,” Journal of High Energy Physics, vol. 0806, no. 054, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  25. P. Phukon and T. Sarkar, “On the Higgsing and unHiggsing of Fano 3-folds,” Journal of High Energy Physics, vol. 1201, no. 090, 2012. View at Google Scholar · View at MathSciNet