2d gauge theories and generalized geometry

DOI10.1007/JHEP08(2014)021zbMath1333.81257arXiv1407.5439OpenAlexW2055018091MaRDI QIDQ270940

Thomas Strobl, Vladimir Salnikov, Alexei Kotov

Publication date: 7 April 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5439

zbMATH Keywords

gauge symmetrysigma modelsdifferential and algebraic geometry

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (11)

Supersymmetrization: AKSZ and beyond? ⋮ T-duality without isometry via extended gauge symmetries of 2D sigma models ⋮ Beyond the standard gauging: gauge symmetries of Dirac sigma models ⋮ BV and BFV for the H-twisted Poisson sigma model ⋮ Strings in singular space-times and their universal gauge theory ⋮ Differential graded Lie groups and their differential graded Lie algebras ⋮ The category of \(\mathbb{Z}\)-graded manifolds: what happens if you do not stay positive ⋮ On the relation of Lie algebroids to constrained systems and their BV/BFV formulation ⋮ General Yang–Mills type gauge theories for p-form gauge fields: From physics-based ideas to a mathematical frameworkorFrom Bianchi identities to twisted Courant algebroids ⋮ Lie algebroids, gauge theories, and compatible geometrical structures ⋮ Topological Dirac sigma models and the classical master equation

Cites Work

• \(L _{\infty }\)-algebras from multisymplectic geometry
• Lie algebroid morphisms, Poisson sigma models, and off-shell closed gauge symmetries
• Non-Abelian bosonization in two dimensions
• Dirac sigma models
• Generalized Kähler manifolds and off-shell supersymmetry
• Gauging without initial symmetry
• Two-dimensional gravity and nonlinear gauge theory
• WZW-Poisson manifolds
• POISSON STRUCTURE INDUCED (TOPOLOGICAL) FIELD THEORIES
• Supersymmetric Cosets from Gauged SWZW Models
• Characteristic classes associated to Q-bundles
• Differential Forms on General Commutative Algebras
• Generalizing Geometry - Algebroids and Sigma Models
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