{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1363670320138364672.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1007/jhep04(2020)058"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/content/pdf/10.1007/JHEP04(2020)058.pdf"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/article/10.1007/JHEP04(2020)058/fulltext.html"}}],"dc:title":[{"@value":"Poisson-Lie U-duality in exceptional field theory"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>A<jats:sc>bstract</jats:sc>\n          </jats:title>\n          <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>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1383670320138364673","@type":"Researcher","foaf:name":[{"@value":"Emanuel Malek"}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320138364672","@type":"Researcher","foaf:name":[{"@value":"Daniel C. Thompson"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"10298479"}],"prism:publicationName":[{"@value":"Journal of High Energy Physics"}],"dc:publisher":[{"@value":"Springer Science and Business Media LLC"}],"prism:publicationDate":"2020-04-09","prism:volume":"2020","prism:number":"4","prism:startingPage":"058"},"reviewed":"false","dc:rights":["https://creativecommons.org/licenses/by/4.0/","https://creativecommons.org/licenses/by/4.0/"],"url":[{"@id":"https://link.springer.com/content/pdf/10.1007/JHEP04(2020)058.pdf"},{"@id":"https://link.springer.com/article/10.1007/JHEP04(2020)058/fulltext.html"}],"createdAt":"2020-04-10","modifiedAt":"2025-01-23","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360009142497203840","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Global aspects of doubled geometry and pre-rackoid"}]},{"@id":"https://cir.nii.ac.jp/crid/1360009142497208448","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"More on doubled aspects of algebroids in double field theory"}]},{"@id":"https://cir.nii.ac.jp/crid/1360572092496840448","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"E6(6) exceptional Drinfel’d algebras"}]},{"@id":"https://cir.nii.ac.jp/crid/1360576118721050240","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Non-Abelian \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mi>U</mml:mi></mml:math>\n duality at work"}]},{"@id":"https://cir.nii.ac.jp/crid/1360588381057149696","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Generalized dualities for heterotic and type I strings"}]},{"@id":"https://cir.nii.ac.jp/crid/1360857593697953920","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Jacobi-Lie T-plurality"}]},{"@id":"https://cir.nii.ac.jp/crid/2050588892108554752","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Gauged sigma models and exceptional dressing cosets"}]},{"@id":"https://cir.nii.ac.jp/crid/2051151842060133376","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Poisson-Lie T-plurality for WZW backgrounds"}]},{"@id":"https://cir.nii.ac.jp/crid/2051433317034799232","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Extended Drinfel'd algebras and non-Abelian duality"}]},{"@id":"https://cir.nii.ac.jp/crid/2051433317036855168","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Half-maximal extended Drinfel'd algebras"}]},{"@id":"https://cir.nii.ac.jp/crid/2051996266992096000","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Poisson-Lie T-plurality for dressing cosets"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1007/jhep04(2020)058"},{"@type":"CROSSREF","@value":"10.1063/5.0020127_references_DOI_Z6EYEy9WuGneXSkbjq4u0ezSlwW"},{"@type":"CROSSREF","@value":"10.1063/5.0024418_references_DOI_Z6EYEy9WuGneXSkbjq4u0ezSlwW"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptab054_references_DOI_Z6EYEy9WuGneXSkbjq4u0ezSlwW"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptac079_references_DOI_Z6EYEy9WuGneXSkbjq4u0ezSlwW"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptaa188_references_DOI_Z6EYEy9WuGneXSkbjq4u0ezSlwW"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptac098_references_DOI_Z6EYEy9WuGneXSkbjq4u0ezSlwW"},{"@type":"CROSSREF","@value":"10.1007/jhep01(2021)020_references_DOI_Z6EYEy9WuGneXSkbjq4u0ezSlwW"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptab166_references_DOI_Z6EYEy9WuGneXSkbjq4u0ezSlwW"},{"@type":"CROSSREF","@value":"10.1103/physrevd.104.046015_references_DOI_Z6EYEy9WuGneXSkbjq4u0ezSlwW"},{"@type":"CROSSREF","@value":"10.1007/jhep08(2024)059_references_DOI_Z6EYEy9WuGneXSkbjq4u0ezSlwW"},{"@type":"CROSSREF","@value":"10.21468/scipostphys.11.2.038_references_DOI_Z6EYEy9WuGneXSkbjq4u0ezSlwW"}]}