Communications in Mathematical Physics

, Volume 156, Issue 1, pp 179–200 | Cite as

Multivalued fields on the complex plane and conformal field theories

  • Franco Ferrari


In this paper a class of conformal field theories with nonabelian and discrete group of symmetry is investigated. These theories are realized in terms of free scalar fields starting from the simpleb-c systems and scalar fields on algebraic curves. The Knizhnik-Zamolodchikov equations for the conformal blocks can be explicitly solved. Besides the fact that one obtains in this way an entire class of theories in which the operators obey nonstandard statistics, these systems are interesting in exploring the connection between statistics and curved space-times, at least in the two dimensional case.


Neural Network Statistical Physic Field Theory Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Franco Ferrari
    • 1
  1. 1.Sektion Physik der Universität MünchenMünchenGermany

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