AKSZ construction from reduction data
High Energy Physics - Theory
2015-06-04 v1 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
We discuss a general procedure to encode the reduction of the target space geometry into AKSZ sigma models. This is done by considering the AKSZ construction with target the BFV model for constrained graded symplectic manifolds. We investigate the relation between this sigma model and the one with the reduced structure. We also discuss several examples in dimension two and three when the symmetries come from Lie group actions and systematically recover models already proposed in the literature.
Cite
@article{arxiv.1204.2453,
title = {AKSZ construction from reduction data},
author = {Francesco Bonechi and Alejandro Cabrera and Maxim Zabzine},
journal= {arXiv preprint arXiv:1204.2453},
year = {2015}
}
Comments
42 pages