Non-isometric U-dualities

Abstract

I study generalisations of U-duality transformations which do not rely on the existence of isometries. I start by providing more details of a recently proposed generalised U-duality map between solutions of type IIA supergravity of the form ${\text{M}}_7\times {\text{S}}^3$, with NSNS flux, and solutions of 11-dimensional supergravity, in which the three-sphere is replaced by a four-dimensional geometry which encodes three-algebra structure constants. I then show that when ${\text{M}}_7$ admits two abelian isometries, TsT deformations on the IIA side become six-vector deformations in the 11-dimensional setting. These six-vector deformations involve an action of ${\mathrm{E}}_{6(6)}$ on both isometric and non-isometric directions. I discuss the algebraic interpretation of these deformations, and compare and contrast them with (generalised) Yang-Baxter deformations in supergravity.

arXiv comment26 pages + appendices. Version 2: fixed typos and added references. Version 3: published version, more typos fixed

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Cited by in corpus (1)

• Generalised U-dual solutions via ISO(7) gauged supergravity