Whittaker pairs for the Virasoro algebra and the Gaiotto - BMT states
Abstract
In this paper we analyze Whittaker modules for two families of Wittaker pairs related to the subalgebras of the Virasoro algebra generated by Lr,..., L2r and L1,Ln. The structure theorems for the corresponding universal Whittaker modules are proved and some of their consequences are derived. All the Gaiotto arXiv:0908.0307 and the Bonelli-Maruyoshi-Tanzini arXiv:1112.1691 states in an arbitrary Virasoro algebra Verma module are explicitly constructed.
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