Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case

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dc.creatorMickelsson, Jouko
dc.creatorPellonpää, Juha-Pekka
dc.date2005-09-09
dc.date2006-06-28
dc.date.accessioned2026-07-07T10:30:15Z
dc.date.available2026-07-07T10:30:15Z
dc.descriptionThe construction of twisted K-theory classes on a compact Lie group is reviewed using the supersymmetric Wess-Zumino-Witten model on a cylinder. The Quillen superconnection is introduced for a family of supercharges parametrized by a compact Lie group and the Chern character is explicitly computed in the case of SU(2). For large euclidean time, the character form is localized on a D-brane.
dc.descriptionVersion 2: Essentially simplified proof of the main result using a map from twisted K-theory to gerbes modulo the twisting gerbe; references added + minor corrections
dc.identifierhttps://arxiv.org/abs/hep-th/0509064
dc.identifierhttp://arxiv.org/abs/hep-th/0509064
dc.identifierCommun.Math.Phys.271:775-789,2007
dc.identifierdoi:10.1007/s00220-006-0186-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178078
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Topology
dc.titleFamilies index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case
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