Multivalued Fields on the Complex Plane and Conformal Field Theories
High Energy Physics - Theory
2009-10-22 v1
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 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.
Cite
@article{arxiv.hep-th/9211052,
title = {Multivalued Fields on the Complex Plane and Conformal Field Theories},
author = {Franco Ferrari},
journal= {arXiv preprint arXiv:hep-th/9211052},
year = {2009}
}
Comments
(revised version), 30 pages + one figure (not included), (requires harvmac.tex), LMU-TPW 92-13