Quantum modular group in (2+1)-dimensional gravity

Acta Physica Hungarica New Series Heavy Ion Physics

Volumn 10, Issue 4, 1999, Pages 361-367

  Carlip, S ^a   Nelson, J E ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF TURIN   (Italy)

Author keywords

(2+1); Modular; Quantum

Indexed keywords

EID: 0043045134     PISSN: 12197580     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. S. Carlip, Quantum Gravity in 2+1 Dimensions, Cambridge University Press, Cambridge, 1998.
2. S. Deser, R. Jackiw and G. 'tHooft, Ann. Phys. 152 (1984) 220.
3. S. Carlip and J.E. Nelson, Phys. Rev. D 51 (1995) 5643.
4. S. Carlip and J.E. Nelson, Phys. Lett. B324 (1994) 299.
5. A. Hosoya and K. Nakao, Class. Quant. Grav. 7 (1990) 163; Prog. Theor. Phys. 84 (1990) 739.
6. A. Hosoya and K. Nakao, Class. Quant. Grav. 7 (1990) 163; Prog. Theor. Phys. 84 (1990) 739.
7. V. Moncrief, J. Math. Phys. 30 (1989) 2907.
8. Y. Fujiwara and J. Soda, Prog. Theor. Phys. 83 (1990) 733.
9. A. Achúcarro and P.K. Townsend, Phys. Lett. B180 (1986) 89.
10. E. Witten, Nucl. Phys. B311 (1988/89) 46.
11. S. Carlip, Phys. Rev. D 42 (1990) 2647.
12. S. Carlip, Phys. Rev. D 45 (1992) 3584.
13. S. Carlip, Phys. Rev. D 47 (1993) 4520.
14. J.E. Nelson and T. Regge, Nucl Phys. B328 (1989) 190.
15. J.E. Nelson and T. Regge, Phys. Lett. B272 (1991) 213.
16. J.E. Nelson and T. Regge, Commun. Math. Phys. 141 (1991) 211.
17. J.E. Nelson and T. Regge, in Integrable Systems and Quantum Groups, Pavia 1990, eds M. Carfora, M. Martellini and A. Marzuoli, World Scientific, Singapore, 1992.
18. J.E. Nelson and T. Regge, Commun. Math. Phys. 155 (1993) 561.
19. J.E. Nelson and T. Regge, Phys. Rev. D 50 (1994) 5125.
20. J.E. Nelson, T. Regge and F. Zertuche, Nucl Phys. B339 (1990) 516.
21. W.G. Unruh and P. Newbury, Int. J. Mod. Phys. D3 (1994) 131.
22. J.D. Fay and J. Reine, Angew. Math. 293 (1977) 143.
23. H. Maass, Lectures on Modular Functions of One Complex Variable, Tata Institute, Bombay, 1964.
24. R.A. Rankin, Modular Forms and Functions Cambridge University Press, Cambridge, 1977.
25. A. Terras, Harmonic Analysis on Symmetric Spaces and Applications I, Springer, New York, 1985.
26. V. Moncrief and J.E. Nelson, Int. J. Mod. Phys. D6 (1997) 5.
27. J. Louko and D.M. Marolf, Class. Quant. Grav. 11 (1994) 311.
28. D. Giulini and J. Louko, Class. Quant. Grav. 12 (1995) 2735.
29. P. Peldán Phys. Rev. D 53 (1996) 3147.
30. S. Carlip and J.E. Nelson, Phys. Rev. D 59 (1999) 024012.