Title
Geometric properties of W-algebras and the Toda model
Abbreviated Journal Title
Theor. Math. Phys.
Keywords
conformal field theory; integrable systems; Toda field theory; hyperelliptic surfaces; MULTIPOINT CORRELATION-FUNCTIONS; QUANTUM-FIELD THEORY; SYMMETRY; SURFACES; Physics, Multidisciplinary; Physics, Mathematical
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 held theory with antiperiodic boundary conditions with inserted twist fields.
Journal Title
Theoretical and Mathematical Physics
Volume
138
Issue/Number
2
Publication Date
1-1-2004
Document Type
Article
Language
English
First Page
151
Last Page
162
WOS Identifier
ISSN
0040-5779
Recommended Citation
"Geometric properties of W-algebras and the Toda model" (2004). Faculty Bibliography 2000s. 4187.
https://stars.library.ucf.edu/facultybib2000/4187
Comments
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