T-Duality in (2,1) Superspace

Preprint number: UUITP-51/18 Authors: M. Abou-Zeid, C. M. Hull, U. Lindström and M. Roček Abstract: We find the T-duality transformation rules for 2-dimensional (2,1) supersymmet- ric 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 trans- formations (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.