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THE ANNIHILATING IDEALS OF MINIMAL MODELS

BORIS L. FEIGIN

Research Institute for Mathematical Sciences, Kyoto University, Sakyo-ku, Kyoto, 606, Japan

Landau Institute for Theoretical Physics, Moscow, USSR

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TOMOKI NAKANISHI

Research Institute for Mathematical Sciences, Kyoto University, Sakyo-ku, Kyoto, 606, Japan

Department of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464, Japan

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HIROSI OOGURI

Research Institute for Mathematical Sciences, Kyoto University, Sakyo-ku, Kyoto, 606, Japan

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https://doi.org/10.1142/S0217751X92003793Cited by:55 (Source: Crossref)

Abstract

We describe several aspects of the annihilating ideals and reduced chiral algebras of conformal field theories, especially, minimal models of W_n algebras. The structure of the annihilating ideal and a vanishing condition is given. Using the annihilating ideal, the structure of quasi-finite models of the Virasoro (2,q) minimal models are studied, and their intimate relation to the Gordon identities are discussed. We also show the examples in which the reduced algebras of W_n and W_ℓ algebras at the same central charge are isomorphic to each other.