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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 138, Number 2, Pages 179–192
DOI: https://doi.org/10.4213/tmf16 (Mi tmf16) 		 
Geometric Properties of $W$-Algebras and the Toda model

S. A. Apikyana, M. A. Barsamianb, K. J. Efthimiouc

a Yerevan State University
b State University of New York
c University of Florida
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DOI: https://doi.org/10.4213/tmf16
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.
Received: 01.11.2002
English version:
Theoretical and Mathematical Physics, 2004, Volume 138, Issue 2, Pages 151–162
DOI: https://doi.org/10.1023/B:TAMP.0000014848.19523.a0
Bibliographic databases:
Language: Russian
Citation: S. A. Apikyan, M. A. Barsamian, K. J. Efthimiou, “Geometric Properties of $W$-Algebras and the Toda model”, TMF, 138:2 (2004), 179–192; Theoret. and Math. Phys., 138:2 (2004), 151–162
Citation in format AMSBIB
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