Factorized Combinations of Virasoro Characters
Abstract
We investigate linear combinations of characters for minimal Virasoro models which are representable as a product of several basic blocks. Our analysis is based on consideration of asymptotic behaviour of the characters in the quasiclassical 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 GaußJacobi or the Watson identities. Exploiting these results, we establish various types of identities between different characters. In particular, we present several identities generalizing the RogersRamanujan identities. Applications to quasiparticle representations, modular invariant partition functions, superconformal theories and conformal models with boundaries are briefly discussed.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2000
 DOI:
 10.1007/s002200050019
 arXiv:
 arXiv:hepth/9809001
 Bibcode:
 2000CMaPh.209..179B
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 25 pages (LaTex), minor corrections, one reference added