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Non-isometric U-dualities
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DOI：10.1007/JHEP09(2022)115.png)
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Abstract
En 中文
I study generalisations of U-duality transformations which do not rely on the existence of isometrics. I start by providing more details of a recently proposed generalised U-duality map between solutions of type IIA supergravity of the form M-7 x 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 M-7 admits two abelian isometrics, TsT deformations on the IIA side become six-vector deformations in the 11-dimensional setting. These six-vector deformations involve an action of 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.
Keywords:
String Duality
Supergravity Models
M-Theory
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W