The vacuum preserving Lie algebra of a classical W-algebra

L. Fehér, L. O'Raifeartaigh, I. Tsutsui

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We simplify and generalize an argument due to Bowcock and Watts showing that one can associate a finite Lie algebra (the "classical vacuum preserving algebra") containing the Möbius sl(2) subalgebra to any classical W-algebra. Our construction is based on a kinematical analysis of the Poisson brackets of quasi-primary fields. In the case of the WGS-algebra constructed through the Drinfeld-Sokolov reduction based on an arbitrary sl(2) subalgebra S of a simple Lie algebra G, we exhibit a natural isomorphism between this finite Lie algebra and G whereby the Möbius sl(2) is identified with S.

Original languageEnglish
Pages (from-to)275-281
Number of pages7
JournalPhysics Letters B
Volume316
Issue number2-3
DOIs
Publication statusPublished - Oct 21 1993

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  • Nuclear and High Energy Physics

Cite this

The vacuum preserving Lie algebra of a classical W-algebra. / Fehér, L.; O'Raifeartaigh, L.; Tsutsui, I.

In: Physics Letters B, Vol. 316, No. 2-3, 21.10.1993, p. 275-281.

Research output: Contribution to journalArticle

Fehér, L. ; O'Raifeartaigh, L. ; Tsutsui, I. / The vacuum preserving Lie algebra of a classical W-algebra. In: Physics Letters B. 1993 ; Vol. 316, No. 2-3. pp. 275-281.
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