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Global Anomalies on Lorentzian Space-Times

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Abstract

We formulate an algebraic criterion for the presence of global anomalies on globally hyperbolic space-times in the framework of locally covariant field theory. We discuss some consequences and check that it reproduces the well-known global SU(2) anomaly in four space-time dimensions.

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Acknowledgements

We would like to thank Dirk-André Deckert, Chris Fewster, Stefan Hollands and Ko Sanders for helpful discussions. A.S. was supported by a Research Fellowship of the Deutsche Forschungsgemeinschaft (DFG, Germany). A large part of the work presented here was done at Heriot-Watt University Edinburgh. J.Z. would like to thank the Department of Mathematics for the kind hospitality and the COST action “Quantum structure of spacetime(QSPACE)” for funding the visit through the “short term scientific missions” program.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK

    Alexander Schenkel

  2. Institut für Theoretische Physik, Universität Leipzig, Brüderstr. 16, 04103, Leipzig, Germany

    Jochen Zahn

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  1. Alexander Schenkel
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  2. Jochen Zahn
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Correspondence to Jochen Zahn.

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Communicated by Karl Henning Rehren.

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Schenkel, A., Zahn, J. Global Anomalies on Lorentzian Space-Times. Ann. Henri Poincaré 18, 2693–2714 (2017). https://doi.org/10.1007/s00023-017-0590-1

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