The notion of N=1 supergeometric vertex operator superalgebra and the isomorphism theorem
Abstract
Description
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.
To appear in Communications in Contemporary Mathematics; 73 pages
To appear in Communications in Contemporary Mathematics; 73 pages