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Supersymmetric Field Theories from Twisted Vector Bundles

  • Augusto StoffelEmail author
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Abstract

We give a description of the delocalized twisted cohomology of an orbifold and the Chern character of a twisted vector bundle in terms of supersymmetric Euclidean field theories. This includes the construction of a twist functor for \({1\vert1}\)-dimensional EFTs from the data of a gerbe with connection.

Notes

Acknowledgements

Open access funding provided by Max Planck Society. This paper is based on a part of my Ph.D. thesis [24], and I would like to thank my advisor, Stephan Stolz, for the guidance. I would also like to thank Matthias Ludewig, Byungdo Park, Peter Teichner, and Peter Ulrickson for valuable discussions, and Karsten Grove for the financial support during my last semester as a graduate student (NSF Grant DMS-1209387).

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© The Author(s) 2019

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Max Planck Institute for MathematicsBonnGermany

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