Multivalued Fields on the Complex Plane and Conformal Field Theories

Details Multivalued Fields on the Complex Plane and Conformal Field Theories Multivalued Fields on the Complex Plane and Conformal Field Theories

1992-11-11

arxiv.org/abs/hep-th/9211052v1

Commun.Math.Phys. 156 (1993) 179-200

Physics

High Energy Physics

High Energy Physics - Theory

(revised version), 30 pages + one figure (not included), (requires harvmac.tex), LMU-TPW 92-13

Scientific paper

10.1007/BF02096737

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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