The spin-statistics connection in quantum gravity

Nuclear Physics B

Volumn 566, Issue 1-2, 2000, Pages 441-468

  Balachandran, A P ^a   Batista, E ^b   Costa E Silva, I P ^c   Teotonio Sobrinho, P ^c  

^a SYRACUSE UNIVERSITY   (United States)

^b FEDERAL UNIVERSITY OF SANTA CATARINA   (Brazil)

^c UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Geons; Quantum gravity; Spin statistics

Indexed keywords

EID: 0034736869     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00544-1     Document Type: Article

References (40)

1. [1] R. Sorkin, Introduction to Topological Geons, in Topological Properties and Global Structure of Space-time, ed. P.G. Bergmann, V. de Sabhata (Plenum, New York, 1986).
2. [2] A.P. Balachandran, A. Daughton, Z.C. Gu, G. Marmo, R.D. Sorkin, A.M. Srivastava, Int. J. Mod. Phys. A 8 (1993) 2993.
3. [3] J.L. Fnedman, R.D. Sorkin, Phys. Rev. Lett. 44 (1980) 1100.
4. [4] J.L. Fnedman, R.D. Sorkin, Gen. Rel. Grav. 14 (1982) 615.
5. [5] H.F. Dowker, R.D. Sorkin, Class. Quant. Grav. 15 (1998) 1153, gr-qc/9609064.
6. [6] R.D. Sorkin, S. Surya, Geon statistics and UIRs of the mapping class group, hep-th/9704081.
7. [7] A.P. Balachandran, E. Batista, I.P. Costa e Silva, P. Teotonio-Sobrinho, Quantum topology change in (2 + 1)d, hep-th/9905136.
8. [8] A.P. Balachandran, G. Bimonte, G. Marmo, A. Simoni, Nucl. Phys. B 446 (1995) 299, gr-qc/9503046.
9. [9] D. Marolf, Phys. Lett. B 392 (1997) 287, gr-qc/960203.
10. [10] N. Seiberg, E. Witten, Nucl. Phys. B 426 (1994) 19.
11. [11] A.P. Balachandran, P. Teotonio-Sobrinho, Int. J. Mod. Phys. A 8 (1993) 723, hep-th/9205116.
12. [12] R. Haag, Local Quantum Physics (Springer, Berlin, 1992).
13. [13] T.H. Koornwinder, N.M. Muller, J. Lie Theory 7 (1997) 33.
14. [14] T.H. Koornwinder, F.A. Bais, N.M. Muller, Commun. Math. Phys. 198 (1998) 157, q-alg/9712042.
15. [15] M.D.F. de Wild Propitius, F.A. Bais, Discrete Gauge Theories Proc. CRM-CAP Summer School Particles and Fields 94, Banff (Springer, Berlin, 1996), hep-th/9511201.
16. [16] M.D.F. de Wild Propitius, Topological Interactions in Broken Gauge Theories, PhD Thesis, University of Amsterdam, 1995, hep-th/9511195.
17. [17] A.P. Balachandran, A. Momen, P. Teotonio-Sobrinho, S. Vaidya, Topological quantization and quantum groups, to appear.
18. [18] C. Kassel, Quantum Groups (Springer, Berlin, 1995).
19. [19] D.S. Freed, F. Quinn, Commun. Math. Phys. 156 (1993) 435.
20. [20] R. Dijkgraaf, E. Witten, Commun. Math. Phys. 129 (1990) 393.
21. [21] M.V. Berry, J.M. Robbins, Proc. Roy. Soc. Lond. A 453 (1997) 1771.
22. [22] J. Anandan, Phys. Lett. A 248 (1998) 124, hep-th/9806070.
23. [23] I. Duck, E.C.G. Sudarshan, Am. J. Phys. 66 (1998) 284, and references therein.
24. [24] M.J. York, Identity, geometry, permutation and the spin-statistics theorem, quant-ph/9908078, and references therein.
25. [25] C. Aneziris, A.P. Balachandran, M. Bourdeau, S. Jo, T.R. Ramadas, R.D. Sorkin, Mod. Phys. Lett. A 4 (1989) 331.
26. [26] C. Aneziris, A.P. Balachandran, M. Boureau, S. Jo, R.D. Sorkin, T.R. Ramadas, Int. J. Mod. Phys. A 4 (1989) 5459.
27. [27] J.S. Birman, Braids, Links and Mapping Class Groups (Princeton Univ. Press, Princeton, 1972).
28. [28] A.P. Balachandran G. Marmo, B.S. Skagerstam, A. Stern, Classical Topology and Quantum States (World Scientific, Singapore, 1991).
29. [29] K. Szlachányi, P. Vecsernyés, Comm. Math. Phys. 156 (1993) 127.
30. [30] A.P. Balachandran, G.G. Trahern, Lectures on Group Theory for Physicists, Monographs and Textbooks in Physical Science 3, Bibliopolis, Napoli (1985).
31. [31] H.-K. Lo, J. Preskill, Phys. Rev. D 48 (1993) 4821.
32. [32] J. Samuel, Phys. Rev. Lett. 71 (1993) 215.
33. [33] D. Husemoller, Fibre Bundles, 2nd ed. (Springer, Berlin, 1975).
34. [34] S. Carlip, Lectures on (2 + 1)-dimensional gravity, gr-qc/9503024.
35. [35] J. Louko, D.M. Marolf, Class. Quantum Grav. 11 (1994) 311.
36. [36] A.P. Balachandran, G. Marmo, N. Mukunda, J.S. Nilsson, E.C.G. Sudarshan, F. Zaccara, Phys. Rev. Lett. 50 (1983) 1553.
37. [37] A.P. Balachandran, G. Marmo, N. Mukunda, J.S. Nilsson, E.C.G. Sudarshan, F. Zaccara, Phys. Rev. D 29 (1984) 2919.
38. [38] P. Nelson, A. Manohar, Phys. Rev. Lett. 50 (1983) 943.
39. [39] A. Achúcarro, P.K. Townsend, Phys. Lett. B 180 (1986) 89.
40. [40] E. Witten, Nucl. Phys. B 311 (1988) 46.