Modularity of trace functions in orbifold theory for Z-graded vertex operator superalgebras

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dc.creatorDong, Chongying
dc.creatorZhao, Zhongping
dc.date2006-01-23
dc.date.accessioned2026-07-07T06:59:13Z
dc.date.available2026-07-07T06:59:13Z
dc.descriptionWe study the trace functions in orbiford theory for Z-graded vertex operator superalgebras and obtain a modular invariance result. More precisely, let V be a C_2-cofinite Z-graded vertex operator superalgebra and G a finite automorphism group of V. Then for any commuting pairs (g,h) in G, the hσ-trace functions associated to the simple g-twisted V-modules are holomorphic in the upper half plane where σis the canonical involution on V coming from the superspace structure of V. If V is further g-rational for every g n G, the trace unctions afford a representation for the full modular group SL(2,Z).
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0601571
dc.identifierhttp://arxiv.org/abs/math/0601571
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107669
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B69
dc.titleModularity of trace functions in orbifold theory for Z-graded vertex operator superalgebras
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