書誌事項
- 公開日
- 2020-04-09
- 権利情報
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- https://creativecommons.org/licenses/by/4.0/
- https://creativecommons.org/licenses/by/4.0/
- DOI
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- 10.1007/jhep04(2020)058
- 公開者
- Springer Science and Business Media LLC
説明
<jats:title>A<jats:sc>bstract</jats:sc> </jats:title> <jats:p>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.</jats:p>
収録刊行物
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- Journal of High Energy Physics
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Journal of High Energy Physics 2020 (4), 058-, 2020-04-09
Springer Science and Business Media LLC
