Z/NZ Conformal Field Theories

  • P. Degiovanni
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 47)


In this paper, we give a brief introduction to Conformal Field Theory (CFT) following the presentation of G. Segal. We explain how to reconstruct part of a CFT from its fusion rules. The possible choices of S matrices are indexed by some automorphisms of the fusion algebra. We illustrate this procedure by computing the modular properties of the possible genus-one characters when the fusion algebra is the representation algebra of a finite group. We also classify the modular invariant partition functions of these theories. We recover as special cases the A N (1) WZW theories and the rational gaussian model.


Manifold Covariance Kato Ustin 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • P. Degiovanni
    • 1
  1. 1.LPTENS, Unité propre de Recherche du Centre National de la Recherche Scientifique, associée à l’Ecole Normale Supérieure et à l’Université de Paris-SudParisFrance

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