Representations of N=2 superconformal vertex algebra

dc.creatorAdamovic, Drazen
dc.date1998-09-24
dc.date.accessioned2026-07-07T05:26:08Z
dc.date.available2026-07-07T05:26:08Z
dc.descriptionLet $L_c$ be simple vertex operator superalgebra(SVOA) associated to the vacuum representation of N=2 superconformal algebra with the central charge $c$. Let $c_m = {3m}/{m+2}$. We classify all irreducible modules for the SVOA $L_{c_m}$. When $m$ is an integer we prove that the set of all unitary representations of N=2 superconformal algebra with the central charge $c_m$ provides all irreducible $L_{c_m}$-modules. When $m \notin {\N} $ and $m$ is an admissible rational number we show that irreducible $L_{c_m}$-modules are parameterized with the union of one finite set and union of finitely many rational curves.
dc.description22 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/9809141
dc.identifierhttp://arxiv.org/abs/math/9809141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77439
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleRepresentations of N=2 superconformal vertex algebra
dc.typetext

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