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arXiv · hep-th/9809001

Factorized Combinations of Virasoro Characters

A. G. Bytsko·A. Fring
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Abstract

We investigate linear combinations of characters for minimal Virasoro models which are representable as a products of several basic blocks. Our analysis is based on consideration of asymptotic behaviour of the characters in the quasi-classical limit. In particular, we introduce a notion of the secondary effective central charge. We find all possible cases for which factorization occurs on the base of the Gauss-Jacobi or the Watson identities. Exploiting these results, we establish various types of identities between different characters. In particular, we present several identities generalizing the Rogers-Ramanujan identities. Applications to quasi-particle representations, modular invariant partition functions, super-conformal theories and conformal models with boundaries are briefly discussed.

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A. G. Bytsko, A. Fring. 1999-12-03. Factorized Combinations of Virasoro Characters. https://doi.org/10.1007/s002200050019

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