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

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

2011-12-19

arxiv.org/abs/1112.4453v1

Physics

Mathematical Physics

19 pages

Scientific paper

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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