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Exploring exceptional Drinfeld geometries
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DOI：10.1007/JHEP09(2020)151.png)
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Abstract
En 中文
We explore geometries that give rise to a novel algebraic structure, the Exceptional Drinfeld Algebra, which has recently been proposed as an approach to study generalised U-dualities, similar to the non-Abelian and Poisson-Lie generalisations of T-duality. This algebra is generically not a Lie algebra but a Leibniz algebra, and can be realised in exceptional generalised geometry or exceptional field theory through a set of frame fields giving a generalised parallelisation. We provide examples including three-algebra geometries, which encode the structure constants for three-algebras and in some cases give novel uplifts forCSO(p, q, r) gaugings of seven-dimensional maximal supergravity. We also discuss the M-theoretic embedding of both non-Abelian and Poisson-Lie T-duality.
Keywords:
M-Theory
String Duality
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