Singular vectors of the WA2 algebra

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8 Citations (Scopus)

Abstract

The null vectors of an arbitrary highest weight representation of the WA2 algebra are constructed. Using an extension of the enveloping algebra by allowing complex powers of one of the generators, analysed by Kent for the Virasoro theory, we generate all the singular vectors indicated by the Kac determinant. We prove that the singular vectors with given weights are unique up to normalisation and consider the case when W0 is not diagonalisable among the singular vectors.

Original languageEnglish
Pages (from-to)225-232
Number of pages8
JournalPhysics Letters B
Volume329
Issue number2-3
DOIs
Publication statusPublished - Jun 16 1994

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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