Geometric properties of W-algebras and the Toda model

    Authors

    S. A. Apikyan; M. H. Barsamian;C. J. Efthimiou

    Comments

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    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

    WOS:000220283500001

    ISSN

    0040-5779

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