Communications in Mathematical Physics

, Volume 174, Issue 1, pp 117–136 | Cite as

Modular invariance and uniqueness of conformal characters

  • Wolfgang Eholzer
  • Nils-Peter Skoruppa


We show that the conformal characters of various rational models ofW-algebras can be already uniquely determined if one merely knows the central charge and the conformal dimensions. As a side result we develop several tools for studying representations of SL(2,ℤ) on spaces of modular functions. These methods, applied here only to certain rational conformal field theories, may be useful for the analysis of many others.


Neural Network Statistical Physic Field Theory Complex System Rational Model 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Wolfgang Eholzer
    • 1
  • Nils-Peter Skoruppa
    • 2
  1. 1.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeUK
  2. 2.U.F.R. de Mathématiques et InformatiqueUniversité Bordeaux 1TalenceFrance

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