Graded geometry in gauge theories and beyond
Abstract
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 Qmanifolds introducing thus the concept of equivariant Qcohomology. 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 Poisson sigma model. We obtain it by a gaugingtype 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.
 Publication:

Journal of Geometry and Physics
 Pub Date:
 January 2015
 DOI:
 10.1016/j.geomphys.2014.07.001
 arXiv:
 arXiv:1411.4486
 Bibcode:
 2015JGP....87..422S
 Keywords:

 58A50;
 53D17;
 70S15;
 55N91;
 Mathematical Physics;
 High Energy Physics  Theory;
 Mathematics  Differential Geometry;
 58A50;
 53D17;
 70S15;
 55N91
 EPrint:
 version accepted to Journal of Geometry and Physics, updated references