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Communications in Mathematical Physics

, Volume 209, Issue 1, pp 179–205 | Cite as

Factorized Combinations of Virasoro Characters

  • Andrei G. Bytsko
  • Andreas Fring

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 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.

Keywords

Linear Combination Partition Function Asymptotic Behaviour Central Charge Basic Block 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Andrei G. Bytsko
    • 1
  • Andreas Fring
    • 1
  1. 1.Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany.¶E-mail: fring@physik.fu-berlin.deDE

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