No isomorphism between the affine sl(2) algebra and the N=2 superconformal algebras

2008/09/15 by Beatriz Gato-Rivera, Gato-Rivera, Beatriz
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.0809.2549

16 pages, 4 figures

arxiv created 2008/09/15 · arxiv updated 2009/12/01

Abstract

Since 1999 it became obvious that the would be `isomorphism' between the affine sl(2) algebra and the N=2 superconformal algebras, proposed by some authors, simply does not work. However, this issue was never properly discussed in the literature and, as a result, some confusion still remains. In this article we finally settle down, clearly and unambiguously, the true facts: there is no isomorphism between the affine sl(2) algebra and the N=2 superconformal algebras.

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• Recent Results on N=2 Superconformal Algebras
• Constructing N=2 Superconformal Algebras out of N=1 Affine Lie Algebras
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• All Singular Vectors of the N=2 Superconformal Algebra via the Algebraic Continuation Approach
• The derivation algebra and automorphism group of the (generalized) twisted N=2 superconformal algebra