Differential Conformal Superalgebras and their Forms

2008/05/28 by Victor G. Kač, Victor Kac, Michael Lau +4 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math-ph #math.MP #math.RA #msc:12G05 #msc:17B65 #msc:17B69 #msc:17B81

paper · pdf · doi:10.48550/arxiv.0805.4243

61 pages

arxiv created 2008/05/28 · arxiv updated 2009/12/01

Abstract

We introduce the formalism of differential conformal superalgebras, which we show leads to the "correct" automorphism group functor and accompanying descent theory in the conformal setting. As an application, we classify forms of N=2 and N=4 conformal superalgebras by means of Galois cohomology.

Cited by

• Descent Theory for Vertex Algebras

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