Semichiral Sigma Models with 4D Hyperkaehler Geometry
High Energy Physics - Theory
2015-06-05 v1 Differential Geometry
Abstract
Semichiral sigma models with a four-dimensional target space do not support extended N=(4,4) supersymmetries off-shell arXiv:0903.2376, arXiv:0912.4724. We contribute towards the understanding of the non-manifest on-shell transformations in (2,2) superspace by analyzing the extended on-shell supersymmetry of such models and find that a rather general ansatz for the additional supersymmetry (not involving central charge transformations) leads to hyperk\"ahler geometry. We give non-trivial examples of these models.
Keywords
Cite
@article{arxiv.1207.4753,
title = {Semichiral Sigma Models with 4D Hyperkaehler Geometry},
author = {Malin Göteman and Ulf Lindström and Martin Rocek},
journal= {arXiv preprint arXiv:1207.4753},
year = {2015}
}
Comments
19 pages