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arXiv · 1901.00662

T-Duality in $(2,1)$ Superspace

M. Abou-Zeid·C. M. Hull·U. Lindström·M. Roček
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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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M. Abou-Zeid, C. M. Hull, U. Lindström, M. Roček. 2019-01-03. T-Duality in $(2,1)$ Superspace. https://doi.org/10.1007/jhep06(2019)138

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