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

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

2003-01-24

arxiv.org/abs/math/0301273v1

Mathematics

Quantum Algebra

To appear in Communications in Contemporary Mathematics; 73 pages

Scientific paper

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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