arXiv math/03012732003-01-24math.QAhep-thmath-phmath.MP

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

Katrina Deane Barron

备注：: To appear in Communications in Contemporary Mathematics; 73 pages

英文摘要：

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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