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Topological Kac-Moody Algebra and Wakimoto Representation

1991/12/11 by Abbas Ali, Alok Kumar, Ali, Abbas +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9112026

9 pages

arxiv created 1991/12/11 · openalex publication_date 1991/12/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown, using the Wakimoto representation, that the level zero SU(2) Kac-Moody conformal field theory is topological and can be obtained by twisting an N=2 superconformal theory. Expressions for the associated N=2 superconformal generators are written down and the Kac-Moody generators are shown to be BRST exact.

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