Lie algebroids, gauge theories, and compatible geometrical structures

DOI10.1142/S0129055X19500156zbMath1426.53102arXiv1603.04490WikidataQ128819050 ScholiaQ128819050MaRDI QIDQ5237788

Alexei Kotov, Thomas Strobl

Publication date: 18 October 2019

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04490

zbMATH Keywords

Lie algebroidsgauge theoriesRiemannian foliationssymplectic realizationgeneralized geometrysymmetries and reduction

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformations of general structures on manifolds (58H15) Foliations (differential geometric aspects) (53C12) Topological groupoids (including differentiable and Lie groupoids) (22A22) Other connections (53B15) Methods of local Riemannian geometry (53B21)

Related Items (12)

BV and BFV for the H-twisted Poisson sigma model ⋮ Universal corner symmetry and the orbit method for gravity ⋮ BRST cohomology is Lie algebroid cohomology ⋮ Hamiltonian Lie algebroids ⋮ The BV action of 3D twisted R-Poisson sigma models ⋮ Momentum section on Courant algebroid and constrained Hamiltonian mechanics ⋮ Lie algebroids and the geometry of off-shell BRST ⋮ Algebroids, AKSZ constructions and doubled geometry ⋮ Homotopy momentum sections on multisymplectic manifolds ⋮ Momentum sections in Hamiltonian mechanics and sigma models ⋮ Transverse generalized metrics and 2d sigma models ⋮ Born sigma-models for para-Hermitian manifolds and generalized T-duality

Cites Work

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