Annales Henri Poincaré

, Volume 18, Issue 8, pp 2693–2714 | Cite as

Global Anomalies on Lorentzian Space-Times

  • Alexander Schenkel
  • Jochen ZahnEmail author


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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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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Copyright information

© Springer International Publishing 2017

Authors and Affiliations

  1. 1.School of Mathematical SciencesUniversity of NottinghamNottinghamUK
  2. 2.Institut für Theoretische PhysikUniversität LeipzigLeipzigGermany

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