{"@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/1360580239233166208.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1007/jhep06(2021)070"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/content/pdf/10.1007/JHEP06(2021)070.pdf"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/article/10.1007/JHEP06(2021)070/fulltext.html"}}],"dc:title":[{"@value":"Currents, charges and algebras in exceptional generalised geometry"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>A<jats:sc>bstract</jats:sc>\n                     </jats:title><jats:p>A classical <jats:italic>E</jats:italic><jats:sub><jats:italic>d</jats:italic>(<jats:italic>d</jats:italic>)</jats:sub>-invariant Hamiltonian formulation of world-volume theories of half-BPS <jats:italic>p</jats:italic>-branes in type IIb and eleven-dimensional supergravity is proposed, extending known results to <jats:italic>d</jats:italic> ≤ 6. It consists of a Hamiltonian, characterised by a generalised metric, and a current algebra constructed s.t. it reproduces the <jats:italic>E</jats:italic><jats:sub><jats:italic>d</jats:italic>(<jats:italic>d</jats:italic>)</jats:sub> generalised Lie derivative. <jats:italic>E</jats:italic><jats:sub><jats:italic>d</jats:italic>(<jats:italic>d</jats:italic>)</jats:sub>-covariance necessitates the introduction of so-called charges, specifying the type of <jats:italic>p</jats:italic>-brane and the choice of section. For <jats:italic>p ></jats:italic> 2, currents of <jats:italic>p</jats:italic>-branes are generically non- geometric due to the imposition of <jats:italic>U</jats:italic>-duality, e.g. the M5-currents contain coordinates associated to the M2-momentum.</jats:p><jats:p>A derivation of the <jats:italic>E</jats:italic><jats:sub><jats:italic>d</jats:italic>(<jats:italic>d</jats:italic>)</jats:sub>-invariant current algebra from a canonical Poisson structure is in general not possible. At most, one can derive a current algebra associated to para-Hermitian exceptional geometry.</jats:p><jats:p>The membrane in the SL(5)-theory is studied in detail. It is shown that in a generalised frame the current algebra is twisted by the generalised fluxes. As a consistency check, the double dimensional reduction from membranes in M-theory to strings in type IIa string theory is performed. Many features generalise to <jats:italic>p</jats:italic>-branes in SL(<jats:italic>p</jats:italic> + 3) generalised geometries that form building blocks for the <jats:italic>E</jats:italic><jats:sub><jats:italic>d</jats:italic>(<jats:italic>d</jats:italic>)</jats:sub>-invariant currents.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380580239233166208","@type":"Researcher","foaf:name":[{"@value":"David Osten"}]}],"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":"2021-06","prism:volume":"2021","prism:number":"6","prism:startingPage":"070"},"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/JHEP06(2021)070.pdf"},{"@id":"https://link.springer.com/article/10.1007/JHEP06(2021)070/fulltext.html"}],"createdAt":"2021-06-12","modifiedAt":"2021-09-23","relatedProduct":[{"@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"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1007/jhep06(2021)070"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptac098_references_DOI_5wTDWwEJQ7HvUA14SCwMJe8OsPh"}]}