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Geometric Properties of W-Algebras and the Toda model |
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| Authors: | Apikyan S A Barsamian M H Efthimiou C J |
| Institution: | (1) Theoretical Physics Department, Yerevan State University, Yerevan, Armenia;(2) Department of Mathematics, State University of New York, Stony Brook, New York, USA;(3) Department of Physics, University of Central Florida, Orlando, Florida, USA |
| Abstract: | The W-algebra minimal models on hyperelliptic Riemann surfaces are constructed. Using a proposal by Polyakov, we reduce the partition function of the Toda field theory on the hyperelliptic surface to a product of partition functions: one of a  free field theory on the sphere with inserted Toda vertex operators and one of a free scalar field theory with antiperiodic boundary conditions with inserted twist fields. |
| Keywords: | conformal field theory integrable systems Toda field theory hyperelliptic surfaces |
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