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.

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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
  2. 2.Steklov Mathematical Institute, Fontanka 27, St. Petersburg 191011, Russia.¶E-mail: bytsko@pdmi.ras.ruRU

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