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The super-Virasoro singular vectors and Jack superpolynomials relationship revisited

Blondeau-Fournier, O.; Mathieu, P.; Ridout, D.; Wood, S.

Description

A recent novel derivation of the representation of Virasoro singular vectors in terms of Jack polynomials is extended to the supersymmetric case. The resulting expression of a generic super-Virasoro singular vector is given in terms of a simple differential operator (whose form is characteristic of the sector, Neveu–Schwarz or Ramond) acting on a Jack superpolynomial. The latter is indexed by a superpartition depending upon the two integers r,s that specify the reducible module under...[Show more]

CollectionsANU Research Publications
Date published: 2016-11-04
Type: Journal article
URI: http://hdl.handle.net/1885/110173
Source: Nuclear Physics B
DOI: 10.1016/j.nuclphysb.2016.09.003

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