Reference : Dirac sigma models from gauging
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Dirac sigma models from gauging
Salnikov, Vladimir mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Strobl, Thomas [> >]
Journal of High Energy Physics
Institute of Physics Publishing (IOP)
Yes (verified by ORBilu)
United Kingdom
[en] Gauge Symmetry ; Differential and Algebraic Geometry ; BRST Symmetry ; Sigma Models
[en] The G/G WZW model results from the WZW-model by a standard procedure
of gauging. G/G WZW models are members of Dirac sigma models, which also contain
twisted Poisson sigma models as other examples. We show how the general class of Dirac
sigma models can be obtained from a gauging procedure adapted to Lie algebroids in the
form of an equivariantly closed extension. The rigid gauge groups are generically infinite
dimensional and a standard gauging procedure would give a likewise infinite number of
1-form gauge fields; the proposed construction yields the requested finite number of them.
Although physics terminology is used, the presentation is kept accessible also for a
mathematical audience.

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