A local logarithmic conformal field theory

Nuclear Physics B

Volumn 538, Issue 3, 1999, Pages 631-658

  Gaberdiel, Matthias R ^a   Kausch, Horst G ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Conformal field theory

Indexed keywords

EID: 0033579774     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00701-9     Document Type: Article

References (34)

1. [1] H. Saleur, Polymers and percolation in two dimensions and twisted N = 2 supersymmetry, Nucl. Phys. B 382 (1992) 486, hep-th/9111007.
2. [2] M.A. Flohr, On modular invariant partition functions of conformal field theories with logarithmic operators, Int. J. Mod. Phys. A 11 (1996) 4147, hep-th/9509166.
3. [3] H.G. Kausch, Curiosities at c = -2, preprint DAMTP 95-52, hep-th/9510149.
4. [4] M.J. Martins, B. Nienhuis and R. Rietman, An intersecting loop model as a solvable super spin chain, cond-math/9709051.
5. [5] M.R. Rahimi Tabar and S. Rouhani, The Alf'ven effect and conformal field theory, Nuovo Cimento 112 B (1997) 1079, hep-th/9507166.
6. [6] M. Flohr, Two-dimensional turbulence: yet another conformal field theory solution, Nucl. Phys. B 482 (1996) 567, hep-th/9606130.
7. [7] M.R. Rahimi Tabar and S. Rouhani, A logarithmic conformal field theory solution for two-dimensional magnetohydrodynamics in presence of the Alf'ven effect, Europhys. Lett. 37 (1997) 447, hep-th/9606143.
8. [8] V. Gurarie, M. Flohr and C. Nayak. The Haldane-Rezayi quantum hall state and conformal field theory, Nucl. Phys. B 498 (1997) 513, cond-math/9701212.
9. [9] I.I. Kogan and N.E. Mavromatos, World-sheet logarithmic operators and target space symmetries in string theory, Phys. Lett. B 375 ( 1996) 111, hep-th/9512210.
10. [10] L. Rozansky and H. Saleur, Quantum field theory for the multi-variable Alexander-Conway polynomial, Nucl. Phys. B 376 ( 1992) 461, hep-th/9203069.
11. [11] V. Gurarie, Logarithmic operators in conformal field theory, Nucl. Phys. B 410 (1993) 535, hep-th/9303160.
12. [12] M.R. Gaberdiel and H.G. Kausch, Indecomposable fusion products, Nucl. Phys. B 477 (1996) 293, hep-th/9604026.
13. [13] A. Bilal and I.I. Kogan, On gravitational dressing of 2D field theories in chiral gauge, Nucl. Phys. B 449 (1995) 569, hep-th/9503209.
14. [14] J.-S. Caux, I.I. Kogan and A.M. Tsvelik, Logarithmic operators and hidden continuous symmetry in critical disordered models, Nucl. Phys. B 466 (1996) 444, hep-th/9511134.
15. 2 WZNW models, Nucl. Phys. B 489 (1997) 469, hep-th/9606138.
16. [16] Z. Maassarani and D. Serban, Non-unitary conformal field theory and logarithmic operators for disordered systems, Nucl. Phys. B 489 ( 1997) 603, hep-th/9605062.
17. [17] J.-S. Caux, N. Taniguchi and A.M. Tsvelik, Disordered Dirac fermions: Multifractality termination and logarithmic conformal field theories, preprint, cond-mat/9801055, to appear in Nucl. Phys. B.
18. [18] M. Flohr, Singular vectors in logarithmic conformal field theories, Nucl. Phys. B 514 (1998) 523, hep-th/9707090.
19. ∞-algebra, Int. J. Mod. Phys. A 12 (1997) 3723, hep-th/9604007.
20. [20] M.R. Rahimi Tabar, A. Aghamohammadi and M. Khorrami, The logarithmic conformal field theories, Nucl. Phys. B 497 (1997) 555, hep-th/9610168.
21. [21] F. Rohsiepe, On reducible but indecomposable representations of the Virasoro algebra, preprint BONNTH-96-17, hep-th/9611160.
22. [22] M.R. Gaberdiel and H.G. Kausch, A rational logarithmic conformal field theory. Phys. Lett. B 386 (1996) 131, hep-th/9606050.
23. [23] Y. Zhu, Vertex operator algebras, elliptic functions and modular forms, J. Am. Math. Soc. 9 (1996) 237.
24. [24] M. Flohr, On fusion rules in logarithmic conformal field theories, Int. J. Mod. Phys. A 12 (1997) 1943, hep-th/9605151.
25. [25] M.R. Gaberdiel and P. Goddard, Axiomatic conformal field theory, hep-th/9810019.
26. [26] M.R. Gaberdiel, Fusion in conformal field theory as the tensor product of the symmetry algebra, Int. J. Mod. Phys. A 9 (1994) 4619, hep-th/9307183.
27. [27] M. R Gaberdiel, Fusion rules of chiral algebras, Nucl. Phys. B 417 (1994) 130, hep-th/9309105.
28. [28] W. Nahm, Quasirational fusion products, Int. J. Mod. Phys. B 8 (1994) 3693, hep-th/9402039.
29. [29] G. Moore and N. Seiberg, Classical and quantum conformal field theory, Comm. Math. Phys. 123 (1989) 177.
30. [30] H.G. Kausch, Symplectic fermions, Durham University preprint DTP-98/39, in preparation.
31. [31] H.G. Kausch, Extended conformal algebras generated by a multiplet of primary fields, Phys. Lett. B 259 (1991) 448.
32. [32] M.R. Gaberdiel, Fusion of twisted representations, Int. J. Mod. Phys. A 12 (1997) 5183, hep-th/9607036.
33. [33] P. Ginsparg, Curiosities at c = 1, Nucl. Phys. B 295 (1988) 153.
34. [34] A. Erdélyi, W. Magnus, F. Oberhettinger and F.G. Tricomi, Higher Transcendental Functions (McGraw-Hill, New York, 1953).