Zur Kurzanzeige

2021-02-18Zeitschriftenartikel DOI: 10.18452/25506
Duality Hierarchies and Differential Graded Lie Algebras
dc.contributor.authorBonezzi, Roberto
dc.contributor.authorHohm, Olaf
dc.date.accessioned2022-11-28T08:41:37Z
dc.date.available2022-11-28T08:41:37Z
dc.date.issued2021-02-18none
dc.identifier.urihttp://edoc.hu-berlin.de/18452/26235
dc.description.abstractThe gauge theories underlying gauged supergravity and exceptional field theory are based on tensor hierarchies: generalizations of Yang-Mills theory utilizing algebraic structures that generalize Lie algebras and, as a consequence, require higher-form gauge fields. Recently, we proposed that the algebraic structure allowing for consistent tensor hierarchies is axiomatized by ‘infinity-enhanced Leibniz algebras’ defined on graded vector spaces generalizing Leibniz algebras. It was subsequently shown that, upon appending additional vector spaces, this structure can be reinterpreted as a differential graded Lie algebra. We use this observation to streamline the construction of general tensor hierarchies, and we formulate dynamics in terms of a hierarchy of first-order duality relations, including scalar fields with a potential.eng
dc.language.isoengnone
dc.publisherHumboldt-Universität zu Berlin
dc.rights(CC BY 4.0) Attribution 4.0 Internationalger
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.ddc530 Physiknone
dc.subject.ddc510 Mathematiknone
dc.titleDuality Hierarchies and Differential Graded Lie Algebrasnone
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-110-18452/26235-1
dc.identifier.doihttp://dx.doi.org/10.18452/25506
dc.type.versionpublishedVersionnone
local.edoc.pages39none
local.edoc.type-nameZeitschriftenartikel
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
dc.description.versionPeer Reviewednone
dc.identifier.eissn1432-0916
dcterms.bibliographicCitation.doi10.1007/s00220-021-03973-8
dcterms.bibliographicCitation.journaltitleCommunications in mathematical physicsnone
dcterms.bibliographicCitation.volume382none
dcterms.bibliographicCitation.issue1none
dcterms.bibliographicCitation.originalpublishernameSpringernone
dcterms.bibliographicCitation.originalpublisherplaceBerlin ; Heidelbergnone
dcterms.bibliographicCitation.pagestart277none
dcterms.bibliographicCitation.pageend315none
bua.departmentMathematisch-Naturwissenschaftliche Fakultätnone

Zur Kurzanzeige