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arXiv · hep-th/9211052

Multivalued Fields on the Complex Plane and Conformal Field Theories

Franco Ferrari
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Abstract

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 simple $b-c$ systems and scalar fields on algebraic curves. The Knizhnik-Zamolodchikov equations for the conformal blocks can be explicitly solved. Besides of the fact that one obtains in this way an entire class of theories in which the operators obey a nonstandard statistics, these systems are interesting in exploring the connection between statistics and curved space-times, at least in the two dimensional case.

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Franco Ferrari. 1992-11-11. Multivalued Fields on the Complex Plane and Conformal Field Theories. https://doi.org/10.1007/bf02096737

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