Geometric Properties of W-Algebras and the Toda model

Citation data:

Theoretical and Mathematical Physics, ISSN: 0040-5779, Vol: 138, Issue: 2, Page: 151-162

Publication Year:
2004
Usage 8
Abstract Views 6
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Repository URL:
http://stars.library.ucf.edu/facultybib/6452; http://stars.library.ucf.edu/facultybib2000/4187
DOI:
10.1023/b:tamp.0000014848.19523.a0
Author(s):
S. A. Apikyan; M. H. Barsamian; C. J. Efthimiou
Publisher(s):
Springer Nature
Tags:
Physics and Astronomy; Mathematics; conformal field theory; integrable systems; Toda field theory; hyperelliptic surfaces; MULTIPOINT CORRELATION-FUNCTIONS; QUANTUM-FIELD THEORY; SYMMETRY; SURFACES; Physics; Multidisciplinary; Physics; Mathematical
article description
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.