Supersymmetric QFT, Super Loop Spaces and Bismut-Chern Character

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dc.creatorHan, Fei
dc.date2007-11-24
dc.date2008-07-24
dc.date.accessioned2026-07-07T09:52:13Z
dc.date.available2026-07-07T09:52:13Z
dc.descriptionIn this paper, we give a quantum interpretation of the Bismut-Chern character form (the loop space lifting of the Chern character form) as well as the Chern character form associated to a complex vector bundle with connection over a smooth manifold in the framework of supersymmetric quantum field theories developed by Stolz and Teichner \cite{ST07}. We show that the Bismut-Chern character form comes up via a loop-deloop process when one goes from $1|1$D theory over a manifold down to a $0|1$D theory over its free loop space. Based on our quantum interpretation of the Bismut-Chern character form and Chern character form, we construct Chern character type maps for SUSY QFTs.
dc.description26 pages, some materials added and some typos are corrected
dc.identifierhttps://arxiv.org/abs/0711.3862
dc.identifierhttp://arxiv.org/abs/0711.3862
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165515
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.titleSupersymmetric QFT, Super Loop Spaces and Bismut-Chern Character
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