The Conformal Properties of Liouville Field Theory on Z_N-Riemann Surfaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Version to appear in Phys. Lett. B; LaTeX file, 8 pages, no figures

Scientific paper

10.1016/S0370-2693(98)00687-X

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.

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