S-duality in 3D gravity with torsion

Annals of Physics

Volumn 322, Issue 2, 2007, Pages 341-362

  Mielke, Eckehard W ^a   Maggiolo, Alí A Rincón ^a  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

Black holes; Chern Simons terms; Duality; Topological gravity; Torsion

Indexed keywords

EID: 33845622450     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2006.09.007     Document Type: Article

References (61)

1. Alvarez E. Rev. Mod. Phys. 61 (1989) 561
2. Alvarez-Gaumé L., Labastida J.M.F., and Ramallo A.V. Nucl. Phys. B334 (1990) 103
3. Baekler P. Class. Quant. Grav. 8 (1991) 1023
4. Baekler P., Mielke E.W., and Hehl F.W. Il Nuovo Cim. B107 (1992) 91
5. Bañados M., Henneaux M., Teitelboim C., and Zanelli J. Phys. Rev. D48 (1993) 1506
6. Bañados M., Teitelboim C., and Zanelli J. Phys. Rev. Lett. 69 (1992) 1849
7. M. Blagojević, Gravitation and Gauge symmetries. IOP publishing Ltd 2002.
8. Blagojević M., and Cvetković B. In: Benton C.V. (Ed). Trends in General Relativity and Quantum Cosmology Vol. 2 (2006), Nova Science Publishers, NY 85-107
9. Blagojević M., and Vasilić M. Phys. Rev. D67 (2003) 084032
10. Blagojević M., and Vasilić M. Phys. Rev. D68 (2003) 124007
11. Blagojević M., and Vasilić M. Phys. Rev. D68 (2003) 104023
12. Blagojević M., and Vasilić M. Mod. Phys. Lett. A20 (2005) 1285
13. Brans C. Class. Quant. Grav. 5 (1988) L197
14. Cacciatori S.L., Caldarelli M.M., Giacomini A., Klemm D., and Mansi S. J. Geom. Phys. 56 (2006) 2523
15. Carlip S. J. Korean Phys. Soc. 28 (1995) S447-S467
16. Carlip S. Quantum gravity in (2 + 1)-dimensions (1998), Cambridge University Press, Cambridge
17. S. Carlip, The (2 + 1)-dimensional black hole. Class. Quant. Grav. 12 (1995) 2853-2879; Conformal field theory, (2+1)-dimensional gravity, and the BTZ black hole, Class. Quant. Grav. 22 (2005) R85.
18. E. Cartan, On Manifolds with an Affine Connection and the Theory of General Relativity. (1924). English translation of the French original (Bibliopolis, Napoli 1986); for a book review, see F.W. Hehl, Gen. Rel. Grav. 21 (1989) 315.
19. Cheng T.P., and Li L.F. Theory of Elementary Particle Physics (1984), Clarendon Press, Oxford
20. Chern S.S., and Simons J. Proc. Nat. Acad. Sci. 68 (1971) 791-794
21. Dereli T., and Tucker R.W. Class. Quant. Grav. 5 (1988) 951-959
22. Dereli T., and Verçin A. Philos. Mag. B 64 (1991) 509-513
23. Deser S., Jackiw R., and Pi S.Y. Acta Phys. Polon. B36 (2005) 27-34
24. Deser S., Jackiw R., and Templeton S. Ann. Phys. (N.Y.) 140 (1982) 372-411
25. Deser S., Jackiw R., and 't Hooft G. Ann. Phys. (N.Y.) 152 (1984) 220
26. Deser S., and McCarthy J.G. Phys. Lett. B246 (1990) 441 [Phys. Lett. B248 (1990) 473]
27. Deser S., and Tekin B. Class. Quant. Grav. 19 (2002) L97-L100
28. Deser S., and Yang Z. Class. Quant. Grav. 7 (1990) 1603
29. Eddington A.S. The Mathematical Theory of Relativity. second ed. (1924), Chelsea Publishers, New York
30. Ellwanger U. Class. Quant. Grav. 22 (2005) 1667
31. Falbo-Kenkel M.K., and Mansouri F. J. Math. Phys. 34 (1993) 139
32. García A., Hehl F.W., Heinecke C., and Maci{dotless}́as A. Phys. Rev. D67 (2003) 124016
33. Garcia-Compean H., Obregon O., Ramirez C., and Sabido M. Phys. Rev. D64 (2001) 024002
34. F.W. Hehl, J. Lemke, E.W. Mielke, Two Lectures on Fermions and Gravity, in Geometry and Theoretical Physics. J. Debrus, A.C. Hirshfeld, Eds. Springer-Verlag, Berlin Heidelberg 1991, pp. 56-140.
35. Hehl F.W., McCrea J.D., Kopczynski W., and Mielke E.W. J. Math. Phys. 32 (1991) 2169-2180
36. Hehl F.W., McCrea J.D., Mielke E.W., and Ne'eman Y. Phys. Rep. 258 (1995) 1-171
37. Jackiw R., and Nair V.P. Phys. Rev. D43 (1991) 1933
38. Kaku M. Quantum Field Theory. A Modern Introduction (1993), Oxford University Press, Oxford
39. Mielke E.W. Gen. Rel. Grav. 13 (1981) 175-187
40. Mielke E.W. J. Math. Phys. 25 (1984) 663
41. Mielke, E. W. Geometrodynamics of Gauge Fields-On the geometry of Yang-Mills and gravitational gauge theories, Akademie-Verlag, Berlin 1987.
42. Mielke E.W. Ann. Phys. (N.Y.) 219 (1992) 78-108
43. Mielke E.W. Phys. Rev. D69 (2004) 128501
44. Mielke E.W., and Baekler P. Phys. Lett. A156 (1991) 399
45. Mielke E.W., Gronwald F., Obukhov Y.N., Tresguerres R., and Hehl F.W. Phys. Rev. D48 (1993) 3648-3662
46. Mielke E.W., and Rincón Maggiolo A.A. Phys. Rev. D68 (2003) 104026
47. Mielke E.W., and Rincón Maggiolo A.A. Gen. Rel. Grav. 37 (2005) 997-1007
48. Mielke E.W., and Wallner R.P. Il Nuovo Cim. B102 (1988) 555
49. Misner C.W., and Wheeler J.A. Ann. Phys. (N.Y.) 2 (1957) 525
50. Montonen C., and Olive D.I. Phys. Lett. B72 (1977) 117
51. Olive, D. I. Exact electromagnetic duality. Nucl. Phys. Proc. Suppl. 45A, 88 (1996) [Nucl. Phys. Proc. Suppl. 46, 1 (1996)].
52. Penrose R. Gen. Rel. Grav. 7 (1976) 171-176
53. Perlmutter, S. Supernovae, dark energy, and the accelerating universe. Physics Today, April (2003) 53.
54. Rainich G.Y. Trans. Am. Math. Soc. 27 (1925) 106
55. Schimming R., and Schmidt H.J. NTM-Schriftenr. Gesch. Naturw. Techn. Med. (Leipzig) 27 (1990) 41
56. Schrüfer, E. Excalc: A system for doing calculations in the calculus of modern differential geometry. Preprint, GMD, 1999.
57. Schrüfer E., Hehl F.W., and McCrea J.D. Gen. Rel. Grav. 19 (1987) 197
58. 't Hooft G. In: Rollnik H., and Dietz K. (Eds). Trends in Elementary Particle Theory (1975), Springer-Verlag, Berlin 92
59. Tresguerres R., and Mielke E.W. Phys. Rev. D62 (2000) 044004
60. Witten E. Nucl. Phys. B311 (1998) 46
61. Zhytnikov V.V. J. Math. Phys. 35 (1994) 6001-6017