Title

Geometric Properties Of W-Algebras And The Toda Model

Keywords

Conformal field theory; Hyperelliptic surfaces; Integrable systems; Toda field theory

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.

Publication Date

2-1-2004

Publication Title

Theoretical and Mathematical Physics

Volume

138

Issue

2

Number of Pages

151-162

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1023/B:TAMP.0000014848.19523.a0

Socpus ID

4043073479 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/4043073479

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