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The Faddeev–Mickelsson–Shatashvili Anomaly and Lifting Bundle Gerbes

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Abstract

In gauge theory, the Faddeev–Mickelsson–Shatashvili anomaly arises as a prolongation problem for the action of the gauge group on a bundle of projective Fock spaces. In this paper, we study this anomaly from the point of view of bundle gerbes and give several equivalent descriptions of the obstruction. These include lifting bundle gerbes with non-trivial structure group bundle and bundle gerbes related to the caloron correspondence.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Adelaide, Adelaide, SA, 5005, Australia

    Pedram Hekmati & Michael K. Murray

  2. School of Mathematics and Statistics, University of Glasgow, 15 University Gardens, Glasgow, G12 8QW, UK

    Danny Stevenson & Raymond F. Vozzo

Authors
  1. Pedram Hekmati
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  2. Michael K. Murray
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  3. Danny Stevenson
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  4. Raymond F. Vozzo
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Correspondence to Michael K. Murray.

Additional information

Communicated by N. A. Nekrasov

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Hekmati, P., Murray, M.K., Stevenson, D. et al. The Faddeev–Mickelsson–Shatashvili Anomaly and Lifting Bundle Gerbes. Commun. Math. Phys. 319, 379–393 (2013). https://doi.org/10.1007/s00220-012-1608-7

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  • DOI: https://doi.org/10.1007/s00220-012-1608-7

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