N=1 Neveu-Schwarz vertex operator superalgebras over Grassmann algebras and with odd formal variables

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dc.creatorBarron, Katrina Deane
dc.date1999-10-02
dc.date.accessioned2026-07-07T05:31:00Z
dc.date.available2026-07-07T05:31:00Z
dc.descriptionThe notions of N=1 Neveu-Schwarz vertex operator superalgebra over a Grassmann algebra and with odd formal variables and of N=1 Neveu-Schwarz vertex operator superalgebra over a Grassmann algebra and without odd formal variables are introduced, and we show that the respective categories of such objects are isomorphic. The weak supercommutativity and weak associativity properties for an N=1 Neveu-Schwarz vertex operator superalgebra with odd formal variables are established, and we show that in the presence of the other axioms, weak supercommutativity and weak associativity are equivalent to the Jacobi identity. In addition, we prove the supercommutativity and associativity properties for an N=1 Neveu-Schwarz vertex operator superalgebra with odd formal variables and show that in the presence of the other axioms, supercommutativity and associativity are equivalent to the Jacobi identity.
dc.description34 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9910007
dc.identifierhttp://arxiv.org/abs/math/9910007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79190
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectRepresentation Theory
dc.subject17B69
dc.titleN=1 Neveu-Schwarz vertex operator superalgebras over Grassmann algebras and with odd formal variables
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