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arXiv · 1112.4453

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

Ewa Felinska·Zbigniew Jaskolski·Michal Kosztolowicz
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Abstract

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.

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Ewa Felinska, Zbigniew Jaskolski, Michal Kosztolowicz. 2012-10-31. Whittaker pairs for the Virasoro algebra and the Gaiotto - BMT states. https://doi.org/10.1063/1.3692188

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