Dirac Sigma Models from Gauging

Abstract

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.

20 pages, 3 figures

References in corpus (5)

• Lie algebroid morphisms, Poisson Sigma Models, and off-shell closed gauge symmetries
• Lie Algebroid Yang Mills with Matter Fields
• Generalizing Geometry - Algebroids and Sigma Models
• Characteristic classes associated to Q-bundles
• Global gauge anomalies in two-dimensional bosonic sigma models

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• Beyond the standard gauging: gauge symmetries of Dirac Sigma Models
• 2d Gauge Theories and Generalized Geometry
• T-duality without isometry via extended gauge symmetries of 2D sigma models
• Gauged sigma-models with nonclosed 3-form and twisted Jacobi structures
• Graded geometry in gauge theories and beyond
• Topological Dirac Sigma Models and the Classical Master Equation
• Basic curvature and the Atiyah cocycle in gauge theory