The Conformal Properties of Liouville Field Theory on ZN-Riemann Surfaces
Abstract
The Liouville field theory on ZN-Riemann surfaces is studied and it is shown that it decomposes into a Liouville field theory on the sphere and N-1 free boson theories. Also, the partition function of the Liouville field theory on the ZN-Riemann surfaces is expressed as a product of the correlation function for the Liouville vertex operators on the sphere and a number of twisted fields.
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