T-Duality in $(2,1)$ Superspace
High Energy Physics - Theory
2022-10-12 v2 Differential Geometry
Abstract
We find the T-duality transformation rules for 2-dimensional (2,1) supersymmetric sigma-models in (2,1) superspace. Our results clarify certain aspects of the (2,1) sigma model geometry relevant to the discussion of T-duality. The complexified duality transformations we find are equivalent to the usual Buscher duality transformations (including an important refinement) together with diffeomorphisms. We use the gauging of sigma-models in (2,1) superspace, which we review and develop, finding a manifestly real and geometric expression for the gauged action. We discuss the obstructions to gauging (2,1) sigma-models, and find that the obstructions to (2,1) T-duality are considerably weaker.
Cite
@article{arxiv.1901.00662,
title = {T-Duality in $(2,1)$ Superspace},
author = {M. Abou-Zeid and C. M. Hull and U. Lindström and M. Roček},
journal= {arXiv preprint arXiv:1901.00662},
year = {2022}
}
Comments
45 pages, Minor Corrections