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Nonabelian Bundle Gerbes, Their Differential Geometry and Gauge Theory

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Abstract

Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied both in a global coordinate independent formalism and in local coordinates. These are the gauge fields needed for the construction of Yang-Mills theories with 2-form gauge potential.

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Authors and Affiliations

  1. Dipartimento di Scienze e Tecnologie Avanzate, Universitá del Piemonte Orientale, and INFN, Corso Borsalino 54, 15100, Alessandria, Italy

    Paolo Aschieri

  2. Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, München, Germany

    Paolo Aschieri & Branislav Jurčo

  3. Sektion Physik, Universität München, Theresienstr. 37, 80333, München, Germany

    Paolo Aschieri & Branislav Jurčo

  4. Scuola Normale Superiore & INFN sezione di Pisa, , Piazza dei Cavalieri 7, 56126, Pisa, Italy

    Luigi Cantini

  5. Department of Physics, Queen Mary, University of London, Mile End Road, London, E1 4NS, UK

    Luigi Cantini

Authors
  1. Paolo Aschieri
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  2. Luigi Cantini
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  3. Branislav Jurčo
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Corresponding author

Correspondence to Paolo Aschieri.

Additional information

Communicated by M.R. Douglas

Acknowledgement We have benefited from discussions with L. Breen, D. Husemoller, A. Alekseev, L. Castellani, J. Kalkkinen, J. Mickelsson, R. Minasian, D. Stevenson and R. Stora.

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Aschieri, P., Cantini, L. & Jurčo, B. Nonabelian Bundle Gerbes, Their Differential Geometry and Gauge Theory. Commun. Math. Phys. 254, 367–400 (2005). https://doi.org/10.1007/s00220-004-1220-6

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  • DOI: https://doi.org/10.1007/s00220-004-1220-6

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