Graded geometry in gauge theories and beyond - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Geometry and Physics Année : 2015

Graded geometry in gauge theories and beyond

Résumé

MSC: 58A50 53D17 70S15 55N91 Keywords: Q-manifolds Equivariant cohomology Gauging Twisted Poisson sigma model Courant algebroids a b s t r a c t We study some graded geometric constructions appearing naturally in the context of gauge theories. Inspired by a known relation of gauging with equivariant cohomology we generalize the latter notion to the case of arbitrary Q-manifolds introducing thus the concept of equivariant Q-cohomology. Using this concept we describe a procedure for analysis of gauge symmetries of given functionals as well as for constructing functionals (sigma models) invariant under an action of some gauge group. As the main example of application of these constructions we consider the twisted Pois-son sigma model. We obtain it by a gauging-type procedure of the action of an essentially infinite dimensional group and describe its symmetries in terms of classical differential geometry. We comment on other possible applications of the described concept including the analysis of supersymmetric gauge theories and higher structures.

Dates et versions

hal-02403724 , version 1 (13-12-2019)

Identifiants

Citer

Vladimir Salnikov. Graded geometry in gauge theories and beyond. Journal of Geometry and Physics, 2015, 87, pp.422-431. ⟨10.1016/j.geomphys.2014.07.001⟩. ⟨hal-02403724⟩
12 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More