engleski

On W-Algebras Associated to (2, p) Minimal Models and Their Representations

For every odd p \geq 3, we investigate representation theory of the vertex algebra W_{; ; ; 2, p}; ; ; associated to (2, p) minimal models for the Virasoro algebras. We demonstrate that vertex algebras W_{; ; ; 2, p}; ; ; are C_2--cofinite and irrational. Complete classification of irreducible representations for W_{; ; ; 2, 3}; ; ; is obtained, while the classification for p \geq 5 is subject to certain constant term identities. These identities can be viewed as "logarithmic deformations" of Dyson and Selberg constant term identities, and are of independent interest.

W-algebras; minimal models; C_2 cofinitenes; logarithmic conformal field theory

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