Poisson geometry of sigma models with extended supersymmetry
High Energy Physics - Theory
2010-04-05 v2 Symplectic Geometry
Abstract
We consider a general N=(2,2) non-linear sigma model with a torsion. We show that the consistency of N=(2,2) supersymmetry implies that the target manifold is necessary equipped with two (in general, different) Poisson structures. Finally we argue that the Poisson geometry of the target space is a characteristic feature of the sigma models with extended supersymmetry.
Cite
@article{arxiv.hep-th/0210043,
title = {Poisson geometry of sigma models with extended supersymmetry},
author = {Simon Lyakhovich and Maxim Zabzine},
journal= {arXiv preprint arXiv:hep-th/0210043},
year = {2010}
}
Comments
15 pages, references added