Transgression forms and extensions of Chern-Simons gauge theories

Journal of High Energy Physics

Volumn , Issue 2, 2006, Pages 067-

  Mora, Pablo ^a   Olea, Rodrigo ^b   Troncoso, Ricardo ^c   Zanelli, Jorge ^c  

^a INSTITUTO DE FÍSICA   (Uruguay)

^b PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

^c CENTRO DE ESTUDIOS CIENTÍFICOS CECS   (Chile)

Author keywords

Black Holes; Chern Simons Theories; Classical Theories of Gravity; Differential and Algebraic Geometry

Indexed keywords

EID: 33644757649     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/02/067     Document Type: Article

References (59)

1. R. Troncoso and J. Zanelli, Chern-Simons supergravities with off-shell local superalgebras [hep-th/9902003]
2. J. Zanelli, Lecture notes on Chern-Simons (super-)gravities [hep-th/0502193]
3. A.S. Schwarz, The partition function of degenerate quadratic functional and Ray-Singer invariants 1978 Lett. Math. Phys. 2 247
4. S. Deser, R. Jackiw and S. Templeton, Three-dimensional massive gauge theories 1982 Phys. Rev. Lett. 48 975
5. S. Deser, R. Jackiw and S. Templeton, Topologically massive gauge theories 1982 Ann. Phys. (NY) 140 372
6. E. Witten, Quantum field theory and the jones polynomial 1989 Comm. Math. Phys. 121 351
7. P. van Nieuwenhuizen, D ≤ 3 conformal supergravity and Chern-Simons terms 1985 Phys. Rev. D 32 872
8. A. Achńncarro and P.K. Townsend, A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories 1986 Phys. Lett. B 180 89
9. E. Witten, 1988 Nucl. Phys. B 311 46 ; 1989 Nucl. Phys. B 323 113
10. A.H. Chamseddine, Topological gauge theory of gravity in five-dimensions and all odd dimensions 1989 Phys. Lett. B 233 291
11. R. Troncoso and J. Zanelli, Higher dimensional gravity and local AdS symmetry 2000 Class. Quantum Grav. 17 4451 [hep-th/9907109]
12. A.H. Chamseddine, 1990 Nucl. Phys. B 346 213
13. R. Troncoso and J. Zanelli, New gauge supergravity in seven and eleven dimensions 1998 Phys. Rev. D 58 101703 [hep-th/9710180]
14. R. Troncoso and J. Zanelli, Gauge supergravities for all odd dimensions 1999 Int. J. Theor. Phys. 38 1181 [hep-th/9807029]
15. M. Bãados, R. Troncoso and J. Zanelli, Higher dimensional Chern-Simons supergravity 1996 Phys. Rev. D 54 2605 [gr-qc/9601003]
16. M. Hassaine, R. Olea and R. Troncoso, New N ≤ 2 supergravity with local Poincaré invariance in nine dimensions 2004 Phys. Lett. B 599 111 [hep-th/0210116]
17. M. Hassaine, R. Troncoso and J. Zanelli, Eleven-dimensional supergravity as a gauge theory for the M-algebra 2004 2005 Phys. Lett. B 596 132 [hep-th/0306258]
18. M. Hassaine, R. Troncoso and J. Zanelli, 11d supergravity as a gauge theory for the M-algebra PoS WC2004 006 [hep-th/0503220]
19. P.K. Townsend, The eleven-dimensional supermembrane revisited 1995 Phys. Lett. B 350 184 [hep-th/9501068]
20. C. Hull and P.K. Townsend, 1995 Nucl. Phys. B 348 109
21. E. Witten, 1995 Nucl. Phys. B 443 85
22. P.K. Townsend, Four lectures on M-theory [hep-th/9612121]
23. P. Horava, M-theory as a holographic field theory 1999 Phys. Rev. D 59 046004 [hep-th/9712130]
24. M. Bãados, The linear spectrum of OSP(32|1) Chern-Simons supergravity in eleven dimensions 2002 Phys. Rev. Lett. 88 031301 [hep-th/0107214]
25. H. Nastase, Towards a Chern-Simons M-theory of OSP(1|32) × OSP(1|32) [hep-th/0306269]
26. R. Stora, Algebraic structure of chiral anomalies in Recent progress in gauge theories H. Lehmann ed., NATO ASI Series, Plenum, NY, 1984
27. B. Zumino, Chiral anomalies and differential geometry in Relativity, groups and topology II B.S. De Witt and R. Stora eds., (North Holland, Amsterdam), 1984
28. J. Mães, R. Stora and B. Zumino, Algebraic study of chiral anomalies 1985 Comm. Math. Phys. 102 157
29. L. Alvarez-Gaumé and P. Ginsparg, 1985 Ann. of Phys. 161 423
30. S. S. Chern, Complex manifolds without potential theory 2nd ed., Springer, Berlin, 1979
31. M. Nakahara, Geometry, topology and physics IOP, Bristol, 1991
32. R. Aros, M. Contreras, R. Olea, R. Troncoso and J. Zanelli, Charges in 2+1 dimensional gravity and supergravity presented at the Strings'99 Conference Potsdam, Germany, July 1999
33. P. Mora, R. Olea, R. Troncoso and J. Zanelli, Finite action principle for Chern-Simons AdS gravity 2004 J. High Energy Phys. JHEP06(2004)036 [hep-th/0405267]
34. P. Mora and H. Nishino, Fundamental extended objects for Chern-Simons supergravity 2000 Phys. Lett. B 482 222 [hep-th/0002077]
35. P. Mora, Chern-Simons supersymmetric branes 2001 Nucl. Phys. B 594 229 [hep-th/0008180]
36. A. Borowiec, M. Ferraris and M. Francaviglia, A covariant formalism for Chern-Simons gravity 2003 J. Phys. A: Math. Gen. 36 2589 [hep-th/0301146]
37. A. Borowiec, L. Fatibene, M. Ferraris and M. Francaviglia, Covariant lagrangian formulation of Chern-Simons and bf theories [hep-th/0511060]
38. F. Izaurieta, E. Rodriguez and P. Salgado, On transgression forms and Chern-Simons (super)gravity [hep-th/0512014]
39. P. Mora, Transgression forms as unifying principle in field theory [hep-th/0512255]
40. M. Bãados, C. Teitelboim and J. Zanelli, Black hole entropy and the dimensional continuation of the Gauss-Bonnet theorem 1994 Phys. Rev. Lett. 72 957 [gr-qc/9309026]
41. J. Crisóstomo, R. Troncoso and J. Zanelli, Black hole scan 2000 Phys. Rev. D 62 084013 [hep-th/0003271]
42. R. Aros, R. Troncoso and J. Zanelli, Black holes with topologically nontrivial AdS asymptotics 2001 Phys. Rev. D 63 084015 [hep-th/0011097]
43. S. Silva, On superpotentials and charge algebras of gauge theories 1999 Nucl. Phys. B 558 391 [hep-th/9809109]
44. G. Sardanashvily, Gauge conservation laws in higher-dimensional Chern-Simons models [hep-th/0303059]
45. G. Sardanashvily, Energy-momentum conservation laws in higher-dimensional Chern-Simons models [hep-th/0303148]
46. The expressions for the conserved charges (2.6) and (2.7) for a transgression form have been written in Pablo Mora, Ph. D. Thesis, Universidad de la Repńnblica (2003) [37], as well as in the preprint P. Mora, R. Olea, R. Troncoso and J. Zanelli CECS-PHY-04/13. This has also been recently discussed in refs. [35] and in [36]
47. D. Lovelock, The Einstein tensor and its generalizations 1971 J. Math. Phys. 12 498
48. M. Bãados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space-time 1992 Phys. Rev. Lett. 69 1849 [hep-th/9204099]
49. M. Bãados, C. Teitelboim and J. Zanelli, Dimensionally continued black holes 1994 Phys. Rev. D 49 975 [gr-qc/9307033]
50. R.G. Cai and K.S. Soh, Topological black holes in the dimensionally continued gravity 1999 Phys. Rev. D 59 044013 [gr-qc/9808067]
51. G.W. Gibbons and S.W. Hawking, 1977 Phys. Rev. D 15 2753
52. S.W. Hawking and D.N. Page, 1983 Comm. Math. Phys. 87 577
53. R. Aros, M. Contreras, R. Olea, R. Troncoso and J. Zanelli, Conserved charges for gravity with locally AdS asymptotics 2000 Phys. Rev. Lett. 84 1647 [gr-qc/9909015]
54. Conserved charges for even dimensional asymptotically AdS gravity theories 2000 Phys. Rev. D 62 044002 [hep-th/9912045]
55. μ must be regarded as independent fields". C.N. Yang and R.L. Mills, 1954 Phys. Rev. 96 191
56. A. Mardones and J. Zanelli, Lovelock-Cartan theory of gravity 1991 Class. Quantum Grav. 8 1545
57. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
58. J.M. Maldacena, Lectures on AdS/CFT [hep-th/0309246]
59. R. Bertlmann, Anomalies in quantum field theory Oxford U.P., Oxford, 1996