For every odd p \geq 3, we investigate representation theory of the vertex algebra WW_{ 2,p} associated to (2,p) minimal models for the Virasoro algebras. We demonstrate that vertex algebras WW_{ 2,p} are C_2--cofinite and irrational. Complete classification of irreducible representations for WW_{ 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.
Categories: math.QA hep-th math-ph math.CO math.MP math.RT