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.
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Abou-Zeid, M., Hull, C.M., Lindström, U. et al. T-duality in (2, 1) superspace. J. High Energ. Phys. 2019, 138 (2019). https://doi.org/10.1007/JHEP06(2019)138
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DOI: https://doi.org/10.1007/JHEP06(2019)138