Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures
High Energy Physics - Theory
2014-11-20 v3
Abstract
We describe the conditions for extra supersymmetry in N=(2,2) supersymmetric nonlinear sigma models written in terms of semichiral superfields. We find that some of these models have additional off-shell supersymmetry. The (4,4) supersymmetry introduces geometrical structures on the target-space which are conveniently described in terms of Yano f-structures and Magri-Morosi concomitants. On-shell, we relate the new structures to the known bi-hypercomplex structures.
Cite
@article{arxiv.0912.4724,
title = {Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures},
author = {M. Goteman and U. Lindstrom and M. Rocek and Itai Ryb},
journal= {arXiv preprint arXiv:0912.4724},
year = {2014}
}
Comments
20 pages; v2: significant corrections, clarifications, and reorganization; v3: discussion of supersymmetry vs twisted supersymmetry added, relevant signs corrected.