The notion of N=1 supergeometric vertex operator superalgebra and the isomorphism theorem

2003/01/24 by Katrina Barron, Katrina Deane Barron, Barron, Katrina Deane
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th #math-ph #math.MP #math.QA #msc:17B68 #msc:17B69 #msc:17B81 #msc:81R10 #msc:81T40

paper · pdf · doi:10.48550/arxiv.math/0301273

To appear in Communications in Contemporary Mathematics; 73 pages

arxiv created 2003/01/24 · arxiv updated 2009/11/30

Abstract

We introduce the notion of N=1 supergeometric vertex operator superalgebra motivated by the worldsheet geometry underlying genus-zero, two-dimensional, holomorphic N=1 superconformal field theory. We then show, assuming the convergence of certain projective factors, that the category of such objects is isomorphic to the category of N=1 Neveu-Schwarz vertex operator superalgebras.

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