The extended algebra of the minimal models

Nuclear Physics B

Volumn 776, Issue 3, 2007, Pages 365-404

  Mathieu, Pierre ^a   Ridout, David ^a  

^a UNIVERSITÉ LAVAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34250715036     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2007.03.030     Document Type: Article

References (22)

1. Mathieu P., and Ridout D. The extended algebra of the minimal models. Nucl. Phys. B 765 (2007) 201-239. hep-th/0609226
2. Kedem R., McCoy B., and Melzer E. The sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in (1 + 1)-dimensional quantum field theory. In: Bouwknegt P., et al. (Ed). Recent Progress in Statistical Mechanics and Quantum Field Theory (1995), World Scientific, New Jersey 195-219. hep-th/9304056
3. Feigin B., Nakanishi T., and Ooguri H. The annihilating ideals of minimal models. Int. J. Mod. Phys. A 7 (1992) 217-238
4. (1). Contemporary Mathematics vol. 46 (1985), American Mathematical Society, Providence
5. Jacob P., and Mathieu P. A quasi-particle description of the M (3, p) models. Nucl. Phys. B 733 (2006) 205-232. hep-th/0506074
6. Jacob P., and Mathieu P. Embedding of bases: From the M (2, 2 κ + 1) to the M (3, 4 κ + 2 - δ) models. Phys. Lett. B 635 (2006) 350-354. hep-th/0511040
7. Feigin B., Jimbo M., and Miwa T. Vertex operator algebra arising from the minimal series M (3, p) and monomial basis. Prog. Math. Phys. 23 (2002) 179-204. math.QA/0012193
8. Bytsko A. Fermionic representations for characters of M (3, t), M (4, 5), M (5, 6), and M (6, 7) minimal models and related Rogers-Ramanujan type and dilogarithm identities. J. Phys. A 32 (1999) 8045-8058. hep-th/9904059
9. ′ / p < 2. Commun. Math. Phys. 257 (2005) 395-423. math.QA/0405468
10. Welsh T. Fermionic expressions for minimal model Virasoro characters. Mem. Am. Math. Soc. 175 (2005) 1-160. math.CO/0212154
11. P. Mathieu, D. Ridout, Module bases and characters for the minimal model extended algebras, in preparation
12. Belavin A., Polyakov A., and Zamolodchikov A. Infinite conformal symmetry in two-dimensional quantum field theory. Nucl. Phys. B 241 (1984) 333-380
13. Di Francesco P., Mathieu P., and Sénéchal D. Conformal Field Theory (1997), Springer-Verlag, New York Graduate Texts in Contemporary Physics
14. Dotsenko V., and Fateev V. Operator algebra of two-dimensional conformal theories with central charge C ≤ 1. Phys. Lett. B 154 (1985) 291-295
15. N-symmetrical statistical systems. Sov. Phys. JETP 62 (1985) 215-225
16. Zamolodchikov A. Infinite additional symmetries in two-dimensional conformal quantum field theory. Theor. Math. Phys. 65 (1985) 1205-1213
17. Benoit L., and Saint-Aubin Y. Degenerate conformal field theories and explicit expression for some null vectors. Phys. Lett. B 215 (1988) 517-522
18. Schellekens A., and Yankielowicz S. Simple currents, modular invariants and fixed points. Int. J. Mod. Phys. A 5 (1990) 2903-2952
19. Camino J., Ramallo A., and Sanchez de Santos J. Graded parafermions. Nucl. Phys. B 530 (1998) 715-741. hep-th/9805160
20. Jacob P., and Mathieu P. Graded parafermions: Standard and quasiparticle bases. Nucl. Phys. B 630 (2002) 433-452. hep-th/0201156
21. Feigin B., and Fuchs D. Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras. J. Geom. Phys. 5 (1988) 209-235
22. Wakimoto M. Lectures on infinite-dimensional Lie algebra (2001), World Scientific, New Jersey