City Research Online

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.

Publication Type:	Article
Additional Information:	25 pages (LaTex), minor corrections, one reference added. The original publication is available at http://www.springerlink.com/content/blwrqmvln86644bg/
Subjects:	Q Science > QC Physics
Departments:	School of Science & Technology > Mathematics
Related URLs:	Author
SWORD Depositor:	Symplectic Administrator

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