Dirac Sigma Models from Gauging
arXiv:1311.7116 · doi:10.1007/JHEP11(2013)110
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.
arXiv comment20 pages, 3 figures
References in corpus (23)
- Deformation quantization of Poisson manifolds, I
- A path integral approach to the Kontsevich quantization formula
- Two-Dimensional Gravity and Nonlinear Gauge Theory
- Poisson Structure Induced (Topological) Field Theories
- Derived brackets
- WZW-Poisson manifolds
- Classical and Quantum Gravity in 1+1 Dimensions, Part I: A Unifying Approach
- Current Algebras and Differential Geometry
- Classical and Quantum Gravity in 1+1 Dimensions, Part II: The Universal Coverings
- L-infinity algebras from multisymplectic geometry
- Lie algebroid morphisms, Poisson Sigma Models, and off-shell closed gauge symmetries
- Classical and Quantum Gravity in 1+1 Dimensions, Part III: Solutions of Arbitrary Topology
- Algebroid Yang-Mills Theories
- Dirac Sigma Models
- Lie Algebroid Yang Mills with Matter Fields
- Equivariant Cohomology and Gauged Bosonic sigma-Models
- Generalizing Geometry - Algebroids and Sigma Models
- BRST model applied to symplectic geometry
- Gauging the Wess-Zumino term of a sigma model with boundary
- Localization in GWZW and Verlinde formula
- Characteristic classes associated to Q-bundles
- Cohomology of skew-holomorphic Lie algebroids
- Global gauge anomalies in two-dimensional bosonic sigma models
Cited by in corpus (10)
- General Yang-Mills type gauge theories for p-form gauge fields: From physics-based ideas to a mathematical framework OR From Bianchi identities to twisted Courant algebroids
- Hidden Q-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions
- Sigma models for genuinely non-geometric backgrounds
- 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