N = 8 superspace constraints for three-dimensional gauge theories

Journal of High Energy Physics

Volumn 2010, Issue 2, 2010, Pages

  Samtleben, Henning ^a   Wimmer, Robert ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

Chern Simons theories; Superspaces; Supersymmetric gauge theory

Indexed keywords

EID: 77954909042     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2010)070     Document Type: Article

References (55)

1. J. Bagger and N. Lambert, Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev. D 77 (2008) 065008 [arXiv:0711.0955] [SPIRES].
2. A. Gustavsson, Algebraic structures on parallel M2-branes, Nucl. Phys. B 811 (2009) 66 [arXiv:0709.1260] [SPIRES].
3. J.H. Schwarz, Superconformal Chern-Simons theories, JHEP 11 (2004) 078 [hep-th/0411077] [SPIRES].
4. Strings 2009, June 22-26, Rome Italy (2009).
5. O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [SPIRES].
6. N. Akerblom, C. Sämann and M. Wolf, Marginal deformations and 3-algebra structures, Nucl. Phys. B 826 (2010) 456 [arXiv:0906.1705] [SPIRES].
7. S. Mukhi and C. Papageorgakis, M2 to D2, JHEP 05 (2008) 085 [arXiv:0803.3218] [SPIRES].
8. I.A. Bandos, NB BLG model in N = 8 superfields, Phys. Lett. B 669 (2008) 193 [arXiv:0808.3568] [SPIRES].
9. M. Cederwall, N = 8 superfield formulation of the Bagger-Lambert- Gustavsson model, JHEP 09 (2008) 116 [arXiv:0808.3242] [SPIRES].
10. 3 talk held at Strings 2009, June 22-26, Rome Italy (2009).
11. J.-H. Park, Superconformal symmetry in three-dimensions, J. Math. Phys. 41 (2000) 7129 [hep-th/9910199] [SPIRES].
12. D.S. Berman, M-theory branes and their interactions, Phys. Rept. 456 (2008) 89 [arXiv:0710.1707] [SPIRES].
13. I.R. Klebanov and G. Torri, M2-branes and AdS/CFT, arXiv:0909.1580 [SPIRES].
14. P. Ramond, Still in light-cone superspace, arXiv:0910.1993 [SPIRES].
15. D.V. Belyaev, Dynamical supersymmetry in maximally supersymmetric gauge theories, arXiv:0910.5471 [SPIRES].
16. M. van Leeuwen, A. Cohen and B. Lisser, LiE, a computer algebra package for Lie group computations, Computer Algebra Nederland (1992).
17. R. Slansky, Group theory for unified model building, Phys. Rept. 79 (1981) 1 [SPIRES].
18. J.P. Harnad, J. Hurtubise, M. Legare and S. Shnider, Constraint equations and field equations in supersymmetric N = 3 Yang-Mills theory, Nucl. Phys. B 256 (1985) 609 [SPIRES].
19. J.P. Harnad and S. Shnider, Constraints and field equations for ten-dimensional super Yang-Mills theory, Commun. Math. Phys. 106 (1986) 183 [SPIRES].
20. Z.-Q. Ma and X.-Y. Gu, Problems and solutions in group theory for physicists, World Scientific, Singapore (2004)
21. J. Bagger and N. Lambert, Modeling multiple M2's, Phys. Rev. D 75 (2007) 045020 [hep-th/0611108] [SPIRES].
22. R. Grimm, M. Sohnius and J. Wess, Extended supersymmetry and gauge theories, Nucl. Phys. B 133 (1978) 275 [SPIRES].
23. M.F. Sohnius, Bianchi identities for supersymmetric gauge theories, Nucl. Phys. B 136 (1978) 461 [SPIRES].
24. E. Witten, An interpretation of classical Yang-Mills theory, Phys. Lett. B 77 (1978) 394 [SPIRES].
25. E. Witten, Twistor-like transform in ten-dimensions, Nucl. Phys. B 266 (1986) 245 [SPIRES].
26. J.P. Harnad, J. Hurtubise and S. Shnider, Supersymmetric Yang-Mills equations and supertwistors, Ann. Phys. 193 (1989) 40 [SPIRES].
27. P.S. Howe, Pure spinors lines in superspace and ten-dimensional supersymmetric theories, Phys. Lett. B 258 (1991) 141 [SPIRES].
28. S.J. Gates, Jr., K.S. Stelle and P.C. West, Algebraic origins of superspace constraints in supergravity, Nucl. Phys. B 169 (1980) 347 [SPIRES].
29. S.J. Gates, M.T. Grisaru, M. Roček and W. Siegel, Superspace, or one thousand and one lessons in supersymmetry, Front. Phys. 58 (1983) 1 [hep-th/0108200] [SPIRES].
30. E.A. Bergshoeff, M. de Roo and O. Hohm, Multiple M2-branes and the embedding tensor, Class. Quant. Grav. 25 (2008) 142001 [arXiv:0804.2201] [SPIRES].
31. U. Gran, B.E.W. Nilsson and C. Petersson, On relating multiple M2 and D2-branes, JHEP 10 (2008) 067 [arXiv:0804.1784] [SPIRES].
32. G. Papadopoulos, M2-branes, 3-Lie algebras and Plücker relations, JHEP 05 (2008) 054 [arXiv:0804.2662] [SPIRES].
33. J.P. Gauntlett and J.B. Gutowski, Constraining maximally supersymmetric membrane actions, JHEP 06 (2008) 053 [arXiv:0804.3078] [SPIRES].
34. J. Gomis, G. Milanesi and J.G. Russo, Bagger-Lambert theory for general Lie algebras, JHEP 06 (2008) 075 [arXiv:0805.1012] [SPIRES].
35. S. Benvenuti, D. Rodriguez-Gomez, E. Tonni and H. Verlinde, N = 8 superconformal gauge theories and M2 branes, JHEP 01 (2009) 078 [arXiv:0805.1087] [SPIRES].
36. P.-M. Ho, Y. Imamura and Y. Matsuo, M2 to D2 revisited, JHEP 07 (2008) 003 [arXiv:0805.1202] [SPIRES].
37. B. de Wit, I. Herger and H. Samtleben, Gauged locally supersymmetric D = 3 nonlinearσ-models, Nucl. Phys. B 671 (2003) 175 [hep-th/0307006] [SPIRES].
38. H. Nicolai and H. Samtleben, Chern-Simons vs. Yang-Mills gaugings in three dimensions, Nucl. Phys. B 668 (2003) 167 [hep-th/0303213] [SPIRES].
39. B. Ezhuthachan, S. Mukhi and C. Papageorgakis, D2 to D2, JHEP 07 (2008) 041 [arXiv:0806.1639] [SPIRES].
40. L.P. Hughston and W.T. Shaw, Minimal curves in six-dimensions, Class. Quant. Grav. 4 (1987) 869 [SPIRES].
41. C. Sämann, On the mini-superambitwistor space and N = 8 super Yang-Mills theory, Adv. Math. Phys. 2009 (2009) 784215 [hep-th/0508137] [SPIRES].
42. M. Cederwall, B.E.W. Nilsson and D. Tsimpis, The structure of maximally supersymmetric Yang-Mills theory: constraining higher-order corrections, JHEP 06 (2001) 034 [hep-th/0102009] [SPIRES].
43. A. Basu and J.A. Harvey, The M2-M5 brane system and a generalized Nahm's equation, Nucl. Phys. B 713 (2005) 136 [hep-th/0412310] [SPIRES].
44. K. Hosomichi, K.-M. Lee, S. Lee, S. Lee and J. Park, N = 5, 6 superconformal Chern-Simons theories and M2-branes on orbifolds, JHEP 09 (2008) 002 [arXiv:0806.4977] [SPIRES].
45. B.M. Zupnik, Chern-Simons D = 3, N = 6 superfield theory, Phys. Lett. B 660 (2008) 254 [arXiv:0711.4680] [SPIRES].
46. I.L. Buchbinder et al., ABJM models in N = 3 harmonic superspace, JHEP 03 (2009) 096 [arXiv:0811.4774] [SPIRES].
47. I.L. Buchbinder et al., Quantum N = 3, D = 3 Chern-Simons matter theories in harmonic superspace, JHEP 10 (2009) 075 [arXiv:0909.2970] [SPIRES].
48. M. Cederwall, Superfield actions for N = 8 and N = 6 conformal theories in three dimensions, JHEP 10 (2008) 070 [arXiv:0809.0318] [SPIRES].
49. 2, arXiv:0906.3568 [SPIRES].
50. O.-K. Kwon, P. Oh and J. Sohn, Notes on supersymmetry enhancement of ABJM theory, JHEP 08 (2009) 093 [arXiv:0906.4333] [SPIRES].
51. I.A. Bandos, On multiple M2-brane model(s) and its N = 8 superspace formulation(s), arXiv:0912.1741 [SPIRES].
52. D.-W. Chiou, O.J. Ganor, Y.P. Hong, B.S. Kim and I. Mitra, Massless and massive three dimensional super Yang-Mills theory and mini-twistor string theory, Phys. Rev. D 71 (2005) 125016 [hep-th/0502076] [SPIRES].
53. J.-L. Gervais and H. Samtleben, Integrable structures in classical off-shell 1 0D supersymmetric Yang-Mills theory, Commun. Math. Phys. 217 (2001) 1 [hep-th/9912089] [SPIRES].
54. M.B. Green, J. H. Schwarz, and E. Witten, Superstring theory. Volume 1: introduction, Cambridge University Press, Cambridge U.K. (1987), see page 288.
55. nd Mexican School on Gravitation and Mathematical Physics, Tlaxcala, Mexico (1996).