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

Authors
  • Felinska, Ewa
  • Jaskolski, Zbigniew
  • Kosztolowicz, Michal
Type
Preprint
Publication Date
Oct 31, 2012
Submission Date
Dec 19, 2011
Identifiers
DOI: 10.1063/1.3692188
Source
arXiv
License
Yellow
External links

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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