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

Abstract

Characters and linear combinations of characters that admit a fermionic sum representation as well as a factorized form are considered for some minimal Virasoro models. As a consequence, various Rogers-Ramanujan type identities are obtained. Dilogarithm identities producing corresponding effective central charges and secondary effective central charges are derived. Several ways of constructing more general fermionic representations are discussed.

14 pages, LaTex; minor corrections

References in corpus (2)

• Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz
• A Note on ADE-Spectra in Conformal Field Theory

Cited by in corpus (6)

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• Embedding of bases: from the M(2,2k+1) to the M(3,4k+2-delta) models
• SM(2,4k) fermionic characters and restricted jagged partitions