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Whittaker pairs for the Virasoro algebra and the Gaiotto - BMT states

In this paper we analyze Whittaker modules for two families of Wittaker pairs related to the subalgebras of the Virasoro algebra generated by L_r,..., L_{2r} and L_1,L_n. 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.

preprint2012arXivOpen access
Ewa FelinskaZbigniew JaskolskiMichal Kosztolowicz
math-phmath.MPhep-th
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Ewa FelinskaZbigniew JaskolskiMichal Kosztolowicz

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