Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorized Combinations of Virasoro Characters   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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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin