Boundary conditions and symplectic structure in the Chern-Simons formulation of (2+1)-dimensional gravity

Classical and Quantum Gravity

Volumn 22, Issue 17, 2005, Pages 3689-3724

  Meusburger, C ^a   Schroers, B J ^b  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^b HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24144502554     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/22/17/021     Document Type: Article

References (34)

1. Achucarro A and Townsend P 1986 A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories Phys. Lett. B 180 85-100
2. Witten E 1988 2+1 dimensional gravity as an exactly soluble system Nucl. Phys. B 311 46-78
3. Deser S, Jackiw R and 't Hooft G 1984 Three-dimensional Einstein gravity: dynamics of flat space Ann. Phys. 152 220-35
4. Matschull H-J 2001 The phase-space structure of multiparticle models in 2+1 gravity Class. Quantum Grav. 18 3497-560
5. Carlip S 1995 Statistical mechanics of the (2+1)-dimensional black hole Phys. Rev. D 51 632-37
6. Banados M and Gomberoff A 1997 Black hole entropy in the Chern-Simons formulation of (2+1) gravity Phys. Rev. D 55 6162-7
7. Witten E 1989 Quantum field theory and the Jones polynomial Commun. Math. Phys. 121 351-99
8. de Sousa Gerbert P 1990 On spin and (quantum) gravity in 2+1 dimensions Nucl. Phys. B 346 440-72
9. Meusburger C and Schroers B J 2005 Phase space structure of Chern-Simons theory with a non-standard puncture, EMPG-05-07 Preprint hep-th/0505143
10. Alekseev A Y and Malkin A Z 1995 Symplectic structure of the moduli space of flat connections on a Riemann surface Commun. Math. Phys. 169 99-119
11. Meusburger C and Schroers B J 2003 Poisson structure and symmetry in the Chern-Simons formulation of (2+1)-dimensional gravity Class. Quantum Grav. 20 2193-233
12. Fock V V and Rosly A A 1992 Poisson structures on moduli of flat connections on Riemann surfaces and r-matrices ITEP Preprint 72-92 see also Preprint math.QA/9802054
13. Carlip S 1998 Quantum Gravity in 2+1 Dimensions (Cambridge: Cambridge University Press)
14. Meusburger C and Schroers B J 2004 The quantisation of Poisson structures arising in Chern-Simons theory with gauge group Adv. Theor. Math. Phys. 7 1003-43
15. Meusburger C and Schroers B J 2005 Mapping class group actions in Chern-Simons theory with gauge group Nucl. Phys. B 706 569-97
16. Knapp A W 1996 Lie Groups Beyond an Introduction (Boston, MA: Birkhäuser)
17. Matschull H-J 1999 On the relation between (2+1) Einstein gravity and Chern-Simons theory Class. Quantum Grav. 16 2599-609
18. Schaller P and Strobl T 1994 Diffeomorphisms versus non Abelian gauge transformations: an example of (1+1)-dimensional gravity Phys. Lett. B 337 266-70
19. Thurston W P 1997 Three-Dimensional Geometry and Topology (Princeton, NJ: Princeton University Press)
20. Sharpe R W 1996 Differential Geometry (New York: Springer)
21. Giulini D, Kiefer C and Zeh H D 1995 Symmetries, superselection rules and decoherence Phys. Lett. A 199 291
22. Regge T and Teitelboim C 1974 Role of surface integrals in the Hamiltonian formulation of general relativity Ann. Phys. 88 286-318
23. Giulini D 1995 Asymptotic symmetry groups of long-ranged gauge configurations Mod. Phys. Lett. A 10 2059-70
24. Louko J and Matschull H-J 2000 (2+1)-dimensional Einstein-Kepler problem in the centre-of-mass frame Class. Quantum Grav. 17 1847-73
25. 't Hooft G 1988 Non-perturbative 2 particle scattering amplitude in 2+1 dimensional quantum gravity Commun. Math. Phys. 117 685-700
26. Deser S and Jackiw R 1988 Classical and quantum scattering on a cone Commun. Math. Phys. 118 495-509
27. de Sousa Gerbert P and Jackiw R 1989 Classical and quantum scattering on a spinning cone Commun. Math. Phys. 124 229-60
28. Carlip S 1989 Exact quantum scattering in (2+1)-dimensional gravity Nucl. Phys. B 324 106-22
29. Bais F A, Muller N M and Schroers B J 2002 Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity Nucl. Phys. B 640 3-45
30. Louko J and Matschull H J 2001 The 2+1 Kepler problems and its quantization Class. Quantum Grav. 18 2731-84
31. Gott J R 1991 Closed timelike curves produced by pairs of moving cosmic strings: exact solutions Phys. Rev. Lett. 66 1126-9
32. 't Hooft G 1992 Causality in (2+1)-dimensional gravity Class. Quantum Grav. 9 1335-48
33. Kadar Z and Loll R 2004 (2+1) gravity for higher genus in the polygon model Class. Quantum Grav. 21 2465-91
34. Kadar Z 2005 Polgyon model from first order gravtiy Class. Quantum Grav. 22 809-24