Research PapersNo Access

Boundary effects in the BLG theory

Mir Faizal

Mathematical Institute, University of Oxford, Oxford OX1 3LB, UK

https://doi.org/10.1142/S0217732314501545Cited by:17 (Source: Crossref)

Abstract

In this paper, we will analyze a system of multiple M2-branes in between two M5-branes. This will be analyzed by studying Bagger–Lambert–Gustavsson (BLG) theory on a manifold with two boundaries. The original BLG theory will be modified to make it gauge and supersymmetric invariant in presence of the boundaries. However, this modified theory will only preserve half the supersymmetry of the original theory. We will also analyze the deformation of this theory caused by noncommutativity between Grassman coordinates and spacetime coordinates. Finally, we will analyze the Higgsing of this theory to deformed D2-branes with boundaries.

Keywords:

Boundary superfields

PACS: 11.10.Ef

References

1. A. Gustavsson, JHEP 0804, 083 (2008). Crossref, Web of Science, ADS, Google Scholar
2. J. Bagger and N. Lambert, JHEP 0802, 105 (2008). Crossref, Web of Science, ADS, Google Scholar
3. J. Bagger and N. Lambert, Phys. Rev. D 77, 065008 (2008). Crossref, Web of Science, ADS, Google Scholar
4. M. A. Bandres, A. E. Lipstein and J. H. Schwarz, JHEP 0809, 027 (2008). Crossref, Web of Science, ADS, Google Scholar
5. E. Antonyan and A. A. Tseytlin, Phys. Rev. D 79, 046002 (2009). Crossref, Web of Science, ADS, Google Scholar
6. A. Mauri and A. C. Petkou, Phys. Lett. B 666, 527 (2008). Crossref, Web of Science, ADS, Google Scholar
7. S. V. Ketov and S. Kobayashi, Phys. Rev. D 83, 045003 (2011). Crossref, Web of Science, ADS, Google Scholar
8. H. Nastase and C. Papageorgakis, JHEP 1103, 094 (2011). Crossref, Web of Science, ADS, Google Scholar
9. K. M. Lee, S. Lee and S. Lee, JHEP 0909, 030 (2009). Crossref, Web of Science, ADS, Google Scholar
10. N. Lambert and P. Richmond, JHEP 0910, 084 (2009). Crossref, Web of Science, ADS, Google Scholar
11. S. Terashima, JHEP 0808, 080 (2008). Crossref, Web of Science, ADS, Google Scholar
12. J. Gomis, D. Rodriguez-Gomez, M. Van Raamsdonk and H. Verlinde, JHEP 0809, 113 (2008). Crossref, Web of Science, ADS, Google Scholar
13. H. Nastase, C. Papageorgakis and S. Ramgoolam, JHEP 0905, 123 (2009). Crossref, Web of Science, ADS, Google Scholar
14. A. Gustavsson, JHEP 1201, 057 (2012). Crossref, Web of Science, ADS, Google Scholar
15. C. S. Chu and E. Sezgin, JHEP 9712, 001 (1997). Crossref, ADS, Google Scholar
16. P. S. Howe and E. Sezgin, Phys. Lett. B 394, 62 (1997). Crossref, Web of Science, ADS, Google Scholar
17. M. Aganagic, J. Park, C. Popescu and J. H. Schwarz, Nucl. Phys. B 496, 191 (1997). Crossref, Web of Science, ADS, Google Scholar
18. P. Pasti, D. P. Sorokin and M. Tonin, Phys. Lett. B 398, 41 (1997). Crossref, Web of Science, ADS, Google Scholar
19. I. A. Bandos, K. Lechner, A. Nurmagambetov, P. Pasti, D. P. Sorokin and M. Tonin, Phys. Rev. Lett. 78, 4332 (1997). Crossref, Web of Science, ADS, Google Scholar
20. P. S. Howe, E. Sezgin and P. C. West, Phys. Lett. B 399, 49 (1997). Crossref, Web of Science, ADS, Google Scholar
21. J. de Boer, P. A. Grassi and P. van Nieuwenhuizen, Phys. Lett. B 574, 98 (2003). Crossref, Web of Science, ADS, Google Scholar
22. N. Seiberg, JHEP 0306, 010 (2003). Crossref, ADS, Google Scholar
23. P. Aschieri and L. Castellani, JHEP 0906, 087 (2009). Crossref, Web of Science, ADS, Google Scholar
24. Y. Kimura and Y. Kitazawa, Nucl. Phys. B 598, 73 (2001). Crossref, Web of Science, ADS, Google Scholar
25. K. Ito, Y. Kobayashi and S. Sasaki, JHEP 0704, 011 (2007). Crossref, Web of Science, ADS, Google Scholar
26. K. Ito and S. Sasaki, JHEP 0611, 004 (2006). Crossref, ADS, Google Scholar
27. I. Adam and Y. Oz, JHEP 0509, 002 (2005). Crossref, ADS, Google Scholar
28. P. Meessen and T. Ortin, Nucl. Phys. B 684, 235 (2004). Crossref, Web of Science, ADS, Google Scholar
29. D. V. Belyaev and P. V. Nieuwenhuizen, JHEP 0804, 008 (2008). Crossref, Web of Science, ADS, Google Scholar
30. M. Faizal and D. J. Smith, Phys. Rev. D 87, 025019 (2013). Crossref, Web of Science, ADS, Google Scholar
31. M. Faizal and D. J. Smith, Phys. Rev. D 85, 105007 (2012). Crossref, Web of Science, ADS, Google Scholar
32. D. S. Berman and D. C. Thompson, Nucl. Phys. B 820, 503 (2009). Crossref, Web of Science, ADS, Google Scholar
33. M. Faizal, JHEP 1204, 017 (2012). Crossref, Web of Science, ADS, Google Scholar
34. S. Mukhi and C. Papageorgakis, JHEP 0805, 085 (2008). Crossref, Web of Science, ADS, Google Scholar
35. M. Faizal, Phys. Rev. D 84, 106011 (2011). Crossref, Web of Science, ADS, Google Scholar
36. M. V. Raamsdonk, JHEP 0805, 105 (2008). Crossref, Web of Science, ADS, Google Scholar
37. A. Gustavsson, Nucl. Phys. B 807, 315 (2009). Crossref, Web of Science, ADS, Google Scholar
38. I. A. Batalin and G. A. Vilkovisky, Phys. Lett. B 102, 27 (1981). Crossref, Web of Science, ADS, Google Scholar
39. I. A. Batalin and G. A. Vilkovisky, Phys. Rev. D 28, 2567 (1983). Crossref, Web of Science, ADS, Google Scholar
40. N. R. F. Braga and A. Das, Nucl. Phys. B 442, 655 (1995). Crossref, Web of Science, ADS, Google Scholar
41. M. Faizal and M. Khan, Eur. Phys. J. C 71, 1603 (2011). Crossref, Web of Science, ADS, Google Scholar
42. K. Yokoyama, Prog. Theor. Phys. 59, 1699 (1978). Crossref, Web of Science, ADS, Google Scholar
43. M. Koseki, M. Sato and R. Endo, Prog. Theor. Phys. 90, 1111 (1993). Crossref, Web of Science, ADS, Google Scholar
44. K. Yokoyama, M. Takeda and M. Monda, Prog. Theor. Phys. 60, 927 (1978). Crossref, Web of Science, ADS, Google Scholar
45. H. Miura and R. Endo, Prog. Theor. Phys. 117, 695 (2007). Crossref, Web of Science, ADS, Google Scholar