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  Poisson-Lie U-duality in Exceptional Field Theory

Malek, E., & Thompson, D. C. (in preparation). Poisson-Lie U-duality in Exceptional Field Theory.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-4D42-B Version Permalink: http://hdl.handle.net/21.11116/0000-0005-4D45-8
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1911.07833.pdf (Preprint), 242KB
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 Creators:
Malek, Emanuel1, Author              
Thompson, Daniel C., Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: Poisson-Lie duality provides an algebraic extension of conventional Abelian and non-Abelian target space dualities of string theory and has seen recent applications in constructing quantum group deformations of holography. Here we demonstrate a natural upgrading of Poisson-Lie to the context of M-theory using the tools of exceptional field theory. In particular, we propose how the underlying idea of a Drinfeld double can be generalised to an algebra we call an exceptional Drinfeld algebra. These admit a notion of "maximally isotropic subalgebras" and we show how to define a generalised Scherk-Schwarz truncation on the associated group manifold to such a subalgebra. This allows us to define a notion of Poisson-Lie U-duality. Moreover, the closure conditions of the exceptional Drinfeld algebra define natural analogues of the cocycle and co-Jacobi conditions arising in Drinfeld double. We show that upon making a further coboundary restriction to the cocycle that an M-theoretic extension of Yang-Baxter deformations arise. We remark on the application of this construction as a solution-generating technique within supergravity.

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 Dates: 2019-11-18
 Publication Status: Not specified
 Pages: 20 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1911.07833
URI: http://arxiv.org/abs/1911.07833
 Degree: -

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