Conformal dimensions from topologically massive quantum field theory

Nuclear Physics B

Volumn 480, Issue 1-2, 1996, Pages 413-456

  Amelino Camelia, G ^a   Kogan, I I ^a,b   Szabo, R J ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030602127     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(96)00484-1     Document Type: Article

References (73)

1. [1] A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Nucl. Phys. 241 (1984) 333.
2. [2] A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Publishers, 1987); M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory (Cambridge University Press, 1987).
3. [2] A.M. Polyakov, Gauge Fields and Strings (Harwood Academic Publishers, 1987); M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory (Cambridge University Press, 1987).
4. [3] C. Itzykson, H. Saleur and J.-B. Zuber (eds.), Conformal Invariance and Applications to Statistical Mechanics (World Scientific, Singapore, 1988).
5. [4] E. Witten, Commun. Math. Phys. 121 (1989) 351.
6. [5] G. Moore and N. Seiberg, Phys. Lett. B 220 (1989) 220.
7. [6] S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. 326 (1989) 108; M. Bos and V.P. Nair, Phys. Lett. B 223 (1989) 61; Int. J. Mod. Phys. A 5 (1990) 959; J.M.F. Labastida and A.V. Ramallo, Phys. Lett. B 227 (1989) 92; B 228 (1989) 214; W. Ogura, Phys. Lett. B 229 (1989) 61.
8. [6] S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. 326 (1989) 108; M. Bos and V.P. Nair, Phys. Lett. B 223 (1989) 61; Int. J. Mod. Phys. A 5 (1990) 959; J.M.F. Labastida and A.V. Ramallo, Phys. Lett. B 227 (1989) 92; B 228 (1989) 214; W. Ogura, Phys. Lett. B 229 (1989) 61.
9. [6] S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. 326 (1989) 108; M. Bos and V.P. Nair, Phys. Lett. B 223 (1989) 61; Int. J. Mod. Phys. A 5 (1990) 959; J.M.F. Labastida and A.V. Ramallo, Phys. Lett. B 227 (1989) 92; B 228 (1989) 214; W. Ogura, Phys. Lett. B 229 (1989) 61.
10. [6] S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. 326 (1989) 108; M. Bos and V.P. Nair, Phys. Lett. B 223 (1989) 61; Int. J. Mod. Phys. A 5 (1990) 959; J.M.F. Labastida and A.V. Ramallo, Phys. Lett. B 227 (1989) 92; B 228 (1989) 214; W. Ogura, Phys. Lett. B 229 (1989) 61.
11. [6] S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. 326 (1989) 108; M. Bos and V.P. Nair, Phys. Lett. B 223 (1989) 61; Int. J. Mod. Phys. A 5 (1990) 959; J.M.F. Labastida and A.V. Ramallo, Phys. Lett. B 227 (1989) 92; B 228 (1989) 214; W. Ogura, Phys. Lett. B 229 (1989) 61.
12. [6] S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. 326 (1989) 108; M. Bos and V.P. Nair, Phys. Lett. B 223 (1989) 61; Int. J. Mod. Phys. A 5 (1990) 959; J.M.F. Labastida and A.V. Ramallo, Phys. Lett. B 227 (1989) 92; B 228 (1989) 214; W. Ogura, Phys. Lett. B 229 (1989) 61.
13. [7] I.I. Kogan, Phys. Lett. B 231 (1989) 377.
14. [8] W. Siegel, Nucl. Phys. 156 (1979) 135.
15. [9] J.F. Schonfeld, Nucl. Phys. 185 (1981) 157.
16. [10] S. Deser, R. Jackiw and S. Templeton, Ann. Phys. 140 (1982) 372.
17. [11] A. Achucaro and P.K. Townsend, Phys. Lett. B 180 (1986) 89; E. Witten, Nucl. Phys. 311 (1988) 46; B 323 (1989) 113.
18. [11] A. Achucaro and P.K. Townsend, Phys. Lett. B 180 (1986) 89; E. Witten, Nucl. Phys. 311 (1988) 46; B 323 (1989) 113.
19. [11] A. Achucaro and P.K. Townsend, Phys. Lett. B 180 (1986) 89; E. Witten, Nucl. Phys. 311 (1988) 46; B 323 (1989) 113.
20. [12] S. Carlip and I.I. Kogan, Phys. Rev. Lett. 64 (1990) 148; Mod. Phys. Lett. A 6 (1991) 171.
21. [12] S. Carlip and I.I. Kogan, Phys. Rev. Lett. 64 (1990) 148; Mod. Phys. Lett. A 6 (1991) 171.
22. [13] S. Carlip and I.I. Kogan, Phys. Rev. Lett. 67 (1991) 3647.
23. [14] S. Carlip, Phys. Rev. D 45 (1992) 3584.
24. [15] E. Witten, in: Physics and Mathematics of Strings, Memorial Volume for Vadim Knizhnik, ed. L. Brink et al. (World Scientific, Singapore, 1990).
25. [16] I.I. Kogan, Phys. Lett. B 256 (1991) 369.
26. [17] A.M. Polyakov, Mod. Phys. Lett. A 2 (1987) 893; V.G. Knizhnik, A.M. Polyakov and A.B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988) 819; F. David, Mod. Phys. Lett. A 3 (1988) 1651; J. Distler and H. Kawai, Nucl. Phys. 321 (1989) 509.
27. [17] A.M. Polyakov, Mod. Phys. Lett. A 2 (1987) 893; V.G. Knizhnik, A.M. Polyakov and A.B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988) 819; F. David, Mod. Phys. Lett. A 3 (1988) 1651; J. Distler and H. Kawai, Nucl. Phys. 321 (1989) 509.
28. [17] A.M. Polyakov, Mod. Phys. Lett. A 2 (1987) 893; V.G. Knizhnik, A.M. Polyakov and A.B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988) 819; F. David, Mod. Phys. Lett. A 3 (1988) 1651; J. Distler and H. Kawai, Nucl. Phys. 321 (1989) 509.
29. [17] A.M. Polyakov, Mod. Phys. Lett. A 2 (1987) 893; V.G. Knizhnik, A.M. Polyakov and A.B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988) 819; F. David, Mod. Phys. Lett. A 3 (1988) 1651; J. Distler and H. Kawai, Nucl. Phys. 321 (1989) 509.
30. [18] S. Carlip, Nucl. Phys. 362 (1991) 111.
31. [19] I.I. Kogan, Nucl. Phys. 375 (1992) 362.
32. [20] M.C. Ashworth: Quantum Liouville Theory from a Diffeomorphism Chern-Simons Action, University of California, preprint UCD-95-37 (1995).
33. [21] L. Cooper and I.I. Kogan, to appear in Phys. Lett. B (1996).
34. [22] I.I. Kogan and A.Yu. Morozov, Sov. Phys. JETP 61 (1985) 1; M.I. Dobroliubov, D. Eliezer, I.I. Kogan, G.W. Semenoff and R.J. Szabo, Mod. Phys. Lett. A 8 (1993) 2177.
35. [22] I.I. Kogan and A.Yu. Morozov, Sov. Phys. JETP 61 (1985) 1; M.I. Dobroliubov, D. Eliezer, I.I. Kogan, G.W. Semenoff and R.J. Szabo, Mod. Phys. Lett. A 8 (1993) 2177.
36. [23] V.G. Knizhnik and A.B. Zamolodchikov, Nucl. Phys. B 247 (1984) 83.
37. [24] P. Di Vecchia, V.G. Knizhnik, J.L. Petersen and P. Rossi, Nucl. Phys. 253 (1985) 701; J. Fuchs, Nucl. Phys. 286 (1987) 455.
38. [24] P. Di Vecchia, V.G. Knizhnik, J.L. Petersen and P. Rossi, Nucl. Phys. 253 (1985) 701; J. Fuchs, Nucl. Phys. 286 (1987) 455.
39. [25] R.D. Pisarski and S. Rao, Phys. Rev. D 32 (1985) 2081.
40. [26] F. Delduc, C. Luchesi, O. Piguet and S.P. Sorella, Nucl. Phys. 346. (1990) 313; A. Blasi, O. Piguet and S.P. Sorella, Nucl. Phys. 356 (1991) 154.
41. [26] F. Delduc, C. Luchesi, O. Piguet and S.P. Sorella, Nucl. Phys. 346. (1990) 313; A. Blasi, O. Piguet and S.P. Sorella, Nucl. Phys. 356 (1991) 154.
42. [27] W. Chen, G.W. Semenoff and Y.-S. Wu, Phys. Rev. D 46 (1992) 5521.
43. [28] O. Bergman and G. Lozano, Ann. Phys. 229 (1994) 416; D. Bak and O. Bergman, Phys. Rev. D 51 (1995) 1994; G. Amelino-Camelia and D. Bak, Phys. Lett. B 343 (1995) 231; P. Giacconi, F. Maltoni and R. Soldati, Phys. Rev. D 53 (1996) 952.
44. [28] O. Bergman and G. Lozano, Ann. Phys. 229 (1994) 416; D. Bak and O. Bergman, Phys. Rev. D 51 (1995) 1994; G. Amelino-Camelia and D. Bak, Phys. Lett. B 343 (1995) 231; P. Giacconi, F. Maltoni and R. Soldati, Phys. Rev. D 53 (1996) 952.
45. [28] O. Bergman and G. Lozano, Ann. Phys. 229 (1994) 416; D. Bak and O. Bergman, Phys. Rev. D 51 (1995) 1994; G. Amelino-Camelia and D. Bak, Phys. Lett. B 343 (1995) 231; P. Giacconi, F. Maltoni and R. Soldati, Phys. Rev. D 53 (1996) 952.
46. [28] O. Bergman and G. Lozano, Ann. Phys. 229 (1994) 416; D. Bak and O. Bergman, Phys. Rev. D 51 (1995) 1994; G. Amelino-Camelia and D. Bak, Phys. Lett. B 343 (1995) 231; P. Giacconi, F. Maltoni and R. Soldati, Phys. Rev. D 53 (1996) 952.
47. [29] I.I. Kogan and G.W. Semenoff, Nucl. Phys. B 368 (1992) 718.
48. [30] R.J. Szabo, I.I. Kogan and G.W. Semenoff, Nucl. Phys. B 392 (1993) 700.
49. [31] G.W. Semenoff, P. Sodano and Y.-S. Wu, Phys. Rev. Lett. 62 (1989) 715.
50. [32] G. Giavarini, C.P. Martin and F. Ruiz Ruiz, Nucl. Phys. B 381 (1992) 222.
51. [33] I. Affleck, J.A. Harvey and E. Witten, Nucl. Phys. B 206 (1982) 413; R. Jackiw and A.N. Redlich, Phys. Rev. Lett. 50 (1983) 555; A.J. Niemi and G.W. Semenoff, Phys. Rev. Lett. 51 (1983) 2077; S. Coleman and B. Hill, Phys. Lett. B 159 (1985) 184; Y. Kao and M. Suzuki, Phys. Rev. D 31 (1985) 2137; M. Bernstein and T. Lee, Phys. Rev. D 32 (1985) 1020; G.W. Semenoff and L.C.R. Wijewardhana, Phys. Lett. B 184 (1987) 397; M.B. Paranjape and G.W. Semenoff, Phys. Rev. Lett. 60 (1988) 2703.
52. [33] I. Affleck, J.A. Harvey and E. Witten, Nucl. Phys. B 206 (1982) 413; R. Jackiw and A.N. Redlich, Phys. Rev. Lett. 50 (1983) 555; A.J. Niemi and G.W. Semenoff, Phys. Rev. Lett. 51 (1983) 2077; S. Coleman and B. Hill, Phys. Lett. B 159 (1985) 184; Y. Kao and M. Suzuki, Phys. Rev. D 31 (1985) 2137; M. Bernstein and T. Lee, Phys. Rev. D 32 (1985) 1020; G.W. Semenoff and L.C.R. Wijewardhana, Phys. Lett. B 184 (1987) 397; M.B. Paranjape and G.W. Semenoff, Phys. Rev. Lett. 60 (1988) 2703.
53. [33] I. Affleck, J.A. Harvey and E. Witten, Nucl. Phys. B 206 (1982) 413; R. Jackiw and A.N. Redlich, Phys. Rev. Lett. 50 (1983) 555; A.J. Niemi and G.W. Semenoff, Phys. Rev. Lett. 51 (1983) 2077; S. Coleman and B. Hill, Phys. Lett. B 159 (1985) 184; Y. Kao and M. Suzuki, Phys. Rev. D 31 (1985) 2137; M. Bernstein and T. Lee, Phys. Rev. D 32 (1985) 1020; G.W. Semenoff and L.C.R. Wijewardhana, Phys. Lett. B 184 (1987) 397; M.B. Paranjape and G.W. Semenoff, Phys. Rev. Lett. 60 (1988) 2703.
54. [33] I. Affleck, J.A. Harvey and E. Witten, Nucl. Phys. B 206 (1982) 413; R. Jackiw and A.N. Redlich, Phys. Rev. Lett. 50 (1983) 555; A.J. Niemi and G.W. Semenoff, Phys. Rev. Lett. 51 (1983) 2077; S. Coleman and B. Hill, Phys. Lett. B 159 (1985) 184; Y. Kao and M. Suzuki, Phys. Rev. D 31 (1985) 2137; M. Bernstein and T. Lee, Phys. Rev. D 32 (1985) 1020; G.W. Semenoff and L.C.R. Wijewardhana, Phys. Lett. B 184 (1987) 397; M.B. Paranjape and G.W. Semenoff, Phys. Rev. Lett. 60 (1988) 2703.
55. [33] I. Affleck, J.A. Harvey and E. Witten, Nucl. Phys. B 206 (1982) 413; R. Jackiw and A.N. Redlich, Phys. Rev. Lett. 50 (1983) 555; A.J. Niemi and G.W. Semenoff, Phys. Rev. Lett. 51 (1983) 2077; S. Coleman and B. Hill, Phys. Lett. B 159 (1985) 184; Y. Kao and M. Suzuki, Phys. Rev. D 31 (1985) 2137; M. Bernstein and T. Lee, Phys. Rev. D 32 (1985) 1020; G.W. Semenoff and L.C.R. Wijewardhana, Phys. Lett. B 184 (1987) 397; M.B. Paranjape and G.W. Semenoff, Phys. Rev. Lett. 60 (1988) 2703.
56. [33] I. Affleck, J.A. Harvey and E. Witten, Nucl. Phys. B 206 (1982) 413; R. Jackiw and A.N. Redlich, Phys. Rev. Lett. 50 (1983) 555; A.J. Niemi and G.W. Semenoff, Phys. Rev. Lett. 51 (1983) 2077; S. Coleman and B. Hill, Phys. Lett. B 159 (1985) 184; Y. Kao and M. Suzuki, Phys. Rev. D 31 (1985) 2137; M. Bernstein and T. Lee, Phys. Rev. D 32 (1985) 1020; G.W. Semenoff and L.C.R. Wijewardhana, Phys. Lett. B 184 (1987) 397; M.B. Paranjape and G.W. Semenoff, Phys. Rev. Lett. 60 (1988) 2703.
57. [33] I. Affleck, J.A. Harvey and E. Witten, Nucl. Phys. B 206 (1982) 413; R. Jackiw and A.N. Redlich, Phys. Rev. Lett. 50 (1983) 555; A.J. Niemi and G.W. Semenoff, Phys. Rev. Lett. 51 (1983) 2077; S. Coleman and B. Hill, Phys. Lett. B 159 (1985) 184; Y. Kao and M. Suzuki, Phys. Rev. D 31 (1985) 2137; M. Bernstein and T. Lee, Phys. Rev. D 32 (1985) 1020; G.W. Semenoff and L.C.R. Wijewardhana, Phys. Lett. B 184 (1987) 397; M.B. Paranjape and G.W. Semenoff, Phys. Rev. Lett. 60 (1988) 2703.
58. [33] I. Affleck, J.A. Harvey and E. Witten, Nucl. Phys. B 206 (1982) 413; R. Jackiw and A.N. Redlich, Phys. Rev. Lett. 50 (1983) 555; A.J. Niemi and G.W. Semenoff, Phys. Rev. Lett. 51 (1983) 2077; S. Coleman and B. Hill, Phys. Lett. B 159 (1985) 184; Y. Kao and M. Suzuki, Phys. Rev. D 31 (1985) 2137; M. Bernstein and T. Lee, Phys. Rev. D 32 (1985) 1020; G.W. Semenoff and L.C.R. Wijewardhana, Phys. Lett. B 184 (1987) 397; M.B. Paranjape and G.W. Semenoff, Phys. Rev. Lett. 60 (1988) 2703.
59. [34] R. Brooks, Nucl. Phys. B 320 (1989) 440.
60. [35] N. Sakai and Y. Tanii, Progr. Theor. Phys. 83 (1990) 968.
61. [36] S. Deser and X. Xiang, Phys. Lett. B 263 (1991) 39.
62. [37] S. Deser and Z. Yang, Class. Quant. Grav. 7 (1990) 1603.
63. [38] B. Keszthelyi and G. Kleppe, Phys. Lett. B 281 (1992) 33.
64. [39] S. Deser, Phys. Rev. Lett. 64 (1990) 611; Class. Quant. Grav. 9 (1992) 61; S. Deser and J.G. McCarthy, Nucl. Phys. 344 (1990) 747; M. Reuter, Phys. Rev. D 44 (1991) 1132.
65. [39] S. Deser, Phys. Rev. Lett. 64 (1990) 611; Class. Quant. Grav. 9 (1992) 61; S. Deser and J.G. McCarthy, Nucl. Phys. 344 (1990) 747; M. Reuter, Phys. Rev. D 44 (1991) 1132.
66. [39] S. Deser, Phys. Rev. Lett. 64 (1990) 611; Class. Quant. Grav. 9 (1992) 61; S. Deser and J.G. McCarthy, Nucl. Phys. 344 (1990) 747; M. Reuter, Phys. Rev. D 44 (1991) 1132.
67. [39] S. Deser, Phys. Rev. Lett. 64 (1990) 611; Class. Quant. Grav. 9 (1992) 61; S. Deser and J.G. McCarthy, Nucl. Phys. 344 (1990) 747; M. Reuter, Phys. Rev. D 44 (1991) 1132.
68. [40] M.A. Goni and M.A. Valle, Phys. Rev. D 34 (1986) 648; I. Vuorio, Phys. Lett. B 175 (1986) 176; J.J. van der Bij, R.D. Pisarski and S. Rao, Phys. Lett. B 179 (1986) 87.
69. [40] M.A. Goni and M.A. Valle, Phys. Rev. D 34 (1986) 648; I. Vuorio, Phys. Lett. B 175 (1986) 176; J.J. van der Bij, R.D. Pisarski and S. Rao, Phys. Lett. B 179 (1986) 87.
70. [40] M.A. Goni and M.A. Valle, Phys. Rev. D 34 (1986) 648; I. Vuorio, Phys. Lett. B 175 (1986) 176; J.J. van der Bij, R.D. Pisarski and S. Rao, Phys. Lett. B 179 (1986) 87.
71. [41] A. Lerda and P. van Nieuwenhuizen, Phys. Rev. Lett. 62 (1989) 1217; C.R. Hagen and S. Ramaswamy, Phys. Rev. Lett. 63 (1989) 213; C. Pinheiro, G.O. Pires and F.A.B. Rabelo de Carvalho, Europhys. Lett. 25 (1994) 329.
72. [41] A. Lerda and P. van Nieuwenhuizen, Phys. Rev. Lett. 62 (1989) 1217; C.R. Hagen and S. Ramaswamy, Phys. Rev. Lett. 63 (1989) 213; C. Pinheiro, G.O. Pires and F.A.B. Rabelo de Carvalho, Europhys. Lett. 25 (1994) 329.
73. [41] A. Lerda and P. van Nieuwenhuizen, Phys. Rev. Lett. 62 (1989) 1217; C.R. Hagen and S. Ramaswamy, Phys. Rev. Lett. 63 (1989) 213; C. Pinheiro, G.O. Pires and F.A.B. Rabelo de Carvalho, Europhys. Lett. 25 (1994) 329.