The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes

Hekmati, P., Murray, M. K., Stevenson, D. and Vozzo, R. F. (2013) The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes. Communications in Mathematical Physics, 319(2), pp. 379-393. (doi: 10.1007/s00220-012-1608-7)

Full text not currently available from Enlighten.

Publisher's URL: http://dx.doi.org/10.1007/s00220-012-1608-7

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Stevenson, Dr Daniel and Vozzo, Dr Raymond
Authors: Hekmati, P., Murray, M. K., Stevenson, D., and Vozzo, R. F.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Communications in Mathematical Physics
Publisher:Springer Verlag
ISSN:0010-3616
ISSN (Online):1432-0916
Published Online:17 November 2012
Related URLs:

University Staff: Request a correction | Enlighten Editors: Update this record

Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
547531String structures via higher gauge theoryDaniel StevensonEngineering & Physical Sciences Research Council (EPSRC)EP/I010610/1M&S - MATHEMATICS