Exploring exceptional Drinfeld geometries

• Main Authors: Chris D. A. Blair, Daniel C. Thompson, Sofia Zhidkova
• Format: Article
• Language: English
• Published: SpringerOpen 2020-09-01
• Series: Journal of High Energy Physics
• Subjects: M-Theory; String Duality
• Online Access: http://link.springer.com/article/10.1007/JHEP09(2020)151

Abstract 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 for CSO(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.