Duality Hierarchies and Differential Graded Lie Algebras
dc.contributor.author | Bonezzi, Roberto | |
dc.contributor.author | Hohm, Olaf | |
dc.date.accessioned | 2022-11-28T08:41:37Z | |
dc.date.available | 2022-11-28T08:41:37Z | |
dc.date.issued | 2021-02-18 | none |
dc.identifier.uri | http://edoc.hu-berlin.de/18452/26235 | |
dc.description.abstract | The 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.iso | eng | none |
dc.publisher | Humboldt-Universität zu Berlin | |
dc.rights | (CC BY 4.0) Attribution 4.0 International | ger |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject.ddc | 530 Physik | none |
dc.subject.ddc | 510 Mathematik | none |
dc.title | Duality Hierarchies and Differential Graded Lie Algebras | none |
dc.type | article | |
dc.identifier.urn | urn:nbn:de:kobv:11-110-18452/26235-1 | |
dc.identifier.doi | http://dx.doi.org/10.18452/25506 | |
dc.type.version | publishedVersion | none |
local.edoc.pages | 39 | none |
local.edoc.type-name | Zeitschriftenartikel | |
local.edoc.container-type | periodical | |
local.edoc.container-type-name | Zeitschrift | |
dc.description.version | Peer Reviewed | none |
dc.identifier.eissn | 1432-0916 | |
dcterms.bibliographicCitation.doi | 10.1007/s00220-021-03973-8 | |
dcterms.bibliographicCitation.journaltitle | Communications in mathematical physics | none |
dcterms.bibliographicCitation.volume | 382 | none |
dcterms.bibliographicCitation.issue | 1 | none |
dcterms.bibliographicCitation.originalpublishername | Springer | none |
dcterms.bibliographicCitation.originalpublisherplace | Berlin ; Heidelberg | none |
dcterms.bibliographicCitation.pagestart | 277 | none |
dcterms.bibliographicCitation.pageend | 315 | none |
bua.department | Mathematisch-Naturwissenschaftliche Fakultät | none |