Supersymmetric Sigma Model geometry
High Energy Physics - Theory
2012-07-06 v1 Differential Geometry
Abstract
This is a review of how sigma models formulated in Superspace have become important tools for understanding geometry. Topics included are: The (hyper)k\"ahler reduction; projective superspace; the generalized Legendre construction; generalized K\"ahler geometry and constructions of hyperk\"ahler metrics on Hermitean symmetric spaces.
Cite
@article{arxiv.1207.1241,
title = {Supersymmetric Sigma Model geometry},
author = {Ulf Lindström},
journal= {arXiv preprint arXiv:1207.1241},
year = {2012}
}
Comments
42 pages, one figure, based on lectures presented at ESI, Wienna; Odense; UWA, Perth; Corfu