Poly-symplectic Geometry and the AKSZ Formalism
Mathematical Physics
2021-06-03 v2 Differential Geometry
math.MP
Symplectic Geometry
Abstract
We extend the AKSZ formulation of the Poisson sigma model to more general target spaces, and we develop the general theory of graded geometry for poly-symplectic and poly-Poisson structures. In particular we prove a Schwarz-type theorem and transgression for graded poly-symplectic structures, recovering the action functional and the poly-symplectic structure of the reduced phase space of the poly-Poisson sigma model, from the AKSZ construction.
Cite
@article{arxiv.1912.07697,
title = {Poly-symplectic Geometry and the AKSZ Formalism},
author = {Ivan Contreras and Nicolas Martinez Alba},
journal= {arXiv preprint arXiv:1912.07697},
year = {2021}
}
Comments
14 pages