Virasoro Action on Imaginary Verma Modules and the Operator Form of the KZ-Equation

Cox, Ben L.; Futorny, Vyacheslav; Martins, Renato A.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Virasoro Action on Imaginary Verma Modules and the Operator Form of the KZ-Equation

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Author(s):	Cox, Ben L. ^[1] ; Futorny, Vyacheslav ^[2] ; Martins, Renato A. ^[2] Total Authors: 3
Affiliation:	^[1] Coll Charleston, Dept Math, Charleston, SC 29424 - USA ^[2] Univ Sao Paulo, Inst Matemat & Estn, Sao Paulo - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	LETTERS IN MATHEMATICAL PHYSICS; v. 102, n. 2, p. 125-148, NOV 2012.
Web of Science Citations:	0
Abstract
We define the Virasoro algebra action on imaginary Verma modules for affine and construct an analogue of the Knizhnik-Zamolodchikov equation in the operator form. Both these results are based on a realization of imaginary Verma modules in terms of sums of partial differential operators. (AU)

FAPESP's process:	08/06860-3 - Vertex structures in representation theory of Lie algebras
Grantee:	Renato Alessandro Martins
Support Opportunities:	Scholarships in Brazil - Doctorate

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