Supersymmetric Qft, Super Loop Spaces and Bismut-chern Character
نویسنده
چکیده
We construct the Bismut-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 [ST07]. We show that this differential form comes up via a loop-deloop process when one goes from 1|1D theory over a manifold to 0|1D theory over its loop space by crossing with the standard circle. The super loop space is used in our construction.
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