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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66340We 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 pagesQuantum AlgebraHigh Energy Physics - TheoryMathematical Physics17B68, 17B69, 17B81, 81R10, 81T40The notion of N=1 supergeometric vertex operator superalgebra and the isomorphism theoremtext