Generalized complex geometry and supersymmetric non-linear sigma models
High Energy Physics - Theory
2007-05-23 v1
Abstract
After an elementary presentation of the relation between supersymmetric nonlinear sigma models and geometry, I focus on 2D and the target space geometry allowed when there is an extra supersymmetry. This leads to a brief introduction to generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. Finally I present worldsheet realizations of this geometry,
Cite
@article{arxiv.hep-th/0409250,
title = {Generalized complex geometry and supersymmetric non-linear sigma models},
author = {Ulf Lindstrom},
journal= {arXiv preprint arXiv:hep-th/0409250},
year = {2007}
}
Comments
Talk at Simons Workshop in Mathematics and Physics 2004, 11 pages 2 figures