Logarithmic torus amplitudes

Journal of Physics A: Mathematical and General

Volumn 39, Issue 8, 2006, Pages 1955-1967

  Flohr, Michael ^a   Gaberdiel, Matthias R ^b  

^a UNIVERSITY OF BONN   (Germany)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 32344434265     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/39/8/012     Document Type: Article

References (64)

1. Zhu Y 1990 PhD Thesis Yale
2. Zhu Y 1996 J. Am. Math. Soc. 9 237
3. Nahm W 1991 Int. J. Mod. Phys. A 6 2837
4. Verlinde E 1988 Nucl. Phys. B 300 360
5. Huang Y-Z 2005 Proc. Natl Acad. Sci. USA 102 5352 (Preprint math.QA/0412261)
6. Gurarie V 1993 Nucl. Phys. B 410 535 (Preprint hep-th/9303160)
7. Rozansky L and Saleur H 1992 Nucl. Phys. B 376 461 (Preprint hep-th/9203069)
8. Gaberdiel M R and Kausch H G 1996 Phys. Lett. B 386 131 (Preprint hep-th/9606050)
9. Flohr M A 2003 Int. J. Mod. Phys. A 18 4497 (Preprint hep-th/0111228)
10. Gaberdiel M R 2003 Int. J. Mod. Phys. A 18 4593 (Preprint hep-th/0111260)
11. Kawai S 2003 Int. J. Mod. Phys. A 18 4655 (Preprint hep-th/0204169)
12. Saleur H 1992 Nucl. Phys. B 382 486 (Preprint hep-th/9111007)
13. Flohr M A 1996 Int. J. Mod. Phys. A 11 4147 (Preprint hep-th/9509166)
14. Kausch H G 1995 Curiosities at c ≤ -2 Preprint hep-th/9510149 (DAMTP 95-52)
15. Watts G M T 1996 J. Phys. A: Math. Gen. 29 L363 (Preprint cond-mat/9603167)
16. Flohr M A and Müller-Lohmann A 2005 J. Stat. Mech. P12004 (Preprint hep-th/0507211)
17. Tabar M R Rahimi and Rouhani S 1997 Nuovo Cimento B 112 1079 (Preprint hep-th/9507166)
18. Flohr M 1996 Nucl. Phys. B 482 567 (Preprint hep-th/9606130)
19. Tabar M R Rahimi and Rouhani S 1997 Europhys. Lett. 37 447 (Preprint hep-th/9606143)
20. Gurarie V, Flohr M and Nayak C 1997 Nucl. Phys. B 498 513 (Preprint cond-mat/9701212)
21. Caux J-S, Kogan I I and Tsvelik A M 1996 Nucl. Phys. B 466 444 (Preprint hep-th/9511134)
22. Maassarani Z and Serban D 1997 Nucl. Phys. B 489 603 (Preprint hep-th/9605062)
23. Caux J-S, Taniguchi N and Tsvelik A M 1998 Nucl. Phys. B 525 671 (Preprint cond-mat/9801055)
24. Gurarie V and Ludwig A W W 2002 J. Phys. A: Math. Gen. 35 L377 (Preprint cond-mat/9911392)
25. Ruelle P 2002 Phys. Lett. B 539 172 (Preprint hep-th/0203105)
26. Piroux G and Ruelle P 2004 J. Stat. Mech. P10005 (Preprint hep-th/0407143)
27. Moghimi-Araghi S, Rajabpour M A and Rouhani S 2005 Nucl. Phys. B 718 362 (Preprint cond-mat/0410434)
28. de Gier J, Nienhuis B, Pearce P A and Rittenberg V 2004 J. Stat. Phys. 114 1 (Preprint cond-mat/0301430)
29. Flohr M A 1998 Phys. Lett. B 444 179 (Preprint hep-th/9808169)
30. Kogan I I and Mavromatos N E 1996 Phys. Lett. B 375 111 (Preprint hep-th/9512210)
31. Periwal V and Tafjord O 1996 Phys. Rev. D 54 3690 (Preprint hep-th/9603156)
32. Kogan I I, Mavromatos N E and Wheater J F 1996 Phys. Lett. B 387 483 (Preprint hep-th/9606102)
33. Lambert N, Liu H and Maldacena J 2003 Closed strings from decaying D-branes Preprint hep-th/0303139
34. Bakas I and Sfetsos K 2002 Nucl. Phys. B 639 223 (Preprint hep-th/0205006)
35. Milas A 2001 Weak modules and logarithmic intertwining operators for vertex operator algebras Preprint math.qa/0101167
36. Kleban P and Zagier D 2002 Crossing probabilities and modular forms Preprint math-ph/0209023
37. 2-cofiniteness Preprint math.QA/0209101
38. Huang Y-Z 2002 Riemann surfaces with boundaries and the theory of vertex operator algebras Preprint math.qa/0212308
39. Huang Y-Z, Lepowsky J and Zhang L 2003 A logarithmic generalization of tensor product theory for modules for a vertex operator algebra Preprint math.qa/0311235
40. Gaberdiel M R 2001 Nucl. Phys. B 618 407 (Preprint hep-th/0105046)
41. Lesage F, Mathieu P, Rasmussen J and Saleur H 2002 Nucl. Phys. B 647 363 (Preprint hep-th/0207201)
42. Rasmussen J 2005 Affine Jordan cells, logarithmic correlators, and Hamiltonian reduction Preprint hep-th/0508179
43. Fjelstad J, Fuchs J, Hwang S, Semikhatov A M and Tipunin I Y 2002 Nucl. Phys. B 633 379 (Preprint hep-th/0201091)
44. Flohr M A 1997 Int. J. Mod. Phys. A 12 1943 (Preprint hep-th/9605151)
45. Kausch H G 1991 Phys. Lett. B 259 448
46. Mathur S D, Mukhi S and Sen A 1988 Phys. Lett. B 213 303
47. Mathur S D, Mukhi S and Sen A 1989 Nucl. Phys. B 318 483
48. Kogan I I and Wheater J F 2000 Phys. Lett. B 486 353 (Preprint hep-th/0003184)
49. Kawai S and Wheater J F 2001 Phys. Lett. B 508 203 (Preprint hep-th/0103197)
50. Bredthauer A and Flohr M 2002 Nucl. Phys. B 639 450 (Preprint hep-th/0204154)
51. Pearce P A, Rittenberg V, de Gier J and Nienhuis B 2002 J. Phys. A: Math. Gen. 35 L661 (Preprint math-ph/0209017)
52. de Gier J, Nichols A, Pyatov P and Rittenberg V 2005 Magic in the spectra of the XXZ quantum chain with boundaries at δ ≤ 0 and δ ≤ -1/2 Preprint hep-th/0505062
53. Feigin B L, Gainutdinov A M, Semikhatov A M and Tipunin I Y 2005 Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center Preprint hep-th/0504093
54. Gaberdiel M R and Goddard P 2000 Commun. Math. Phys. 209 549 (Preprint hep-th/9810019)
55. 2-cofiniteness for a family of -algebras Preprint math-ph/0508015
56. Abe T 2005 A -orbifold model of the symplectic fermionic vertex operator superalgebra Preprint math.QA/0503472
57. Eholzer W 1995 Commun. Math. Phys. 172 623 (Preprint hep-th/9408160)
58. Eholzer W 1995 PhD Thesis Bonn Preprint hep-th/9502160
59. Eholzer W and Skoruppa N-P 1995 Commun. Math. Phys. 174 117 (Preprint hep-th/9407074)
60. Eholzer W and Skoruppa N-P 1995 Lett. Math. Phys. 35 197 (Preprint hep-th/9410077)
61. Knizhnik V G 1987 Commun. Math. Phys. 112 567
62. Flohr M A 2005 Logarithmic conformal field theory or how to compute a torus amplitude on the sphere From Fields to Strings: Circumnavigating Physics vol 2 ed M Shifman et al (Singapore: World Scientific) p 1201 (Preprint hep-th/0407003)
63. Gaberdiel M R and Kausch H G 1999 Nucl. Phys. B 538 631 (Preprint hep-th/9807091)
64. Gaberdiel M R and Kausch H G 1996 Nucl. Phys. B 477 293 (Preprint hep-th/9604026)