The Conformal Properties of Liouville Field Theory on Z_N-Riemann Surfaces
arXiv:hep-th/9706116 · doi:10.1016/S0370-2693(98)00687-X
Abstract
The Liouville field theory on Z_N-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 Z_N-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.
Version to appear in Phys. Lett. B; LaTeX file, 8 pages, no figures