To Örebro University

oru.seÖrebro University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Tensor hierarchy algebras and extended geometry: Part II. Gauge structure and dynamics
Division for Theoretical Physics, Department of Physics, Chalmers University of Technology, Gothenburg, Sweden.
Division for Theoretical Physics, Department of Physics, Chalmers University of Technology, Gothenburg, Sweden; Division for Algebra and Geometry, Department of Mathematical Sciences, Gothenburg University and Chalmers University of Technology, Gothenburg, Sweden.
2020 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, article id 145Article in journal (Refereed) Published
Abstract [en]

The recent investigation of the gauge structure of extended geometry is generalised to situations when ancillary transformations appear in the commutator of two generalised diffeomorphisms. The relevant underlying algebraic structure turns out to be a tensor hierarchy algebra rather than a Borcherds superalgebra. This tensor hierarchy algebra is a non-contragredient superalgebra, generically infinite-dimensional, which is a double extension of the structure algebra of the extended geometry. We use it to perform a (partial) analysis of the gauge structure in terms of an L-infinity algebra for extended geometries based on finite-dimensional structure groups. An invariant pseudo-action is also given in these cases. We comment on the continuation to infinite-dimensional structure groups. An accompanying paper [1] deals with the mathematical construction of the tensor hierarchy algebras.

Place, publisher, year, edition, pages
Springer, 2020. no 2, article id 145
Keywords [en]
Differential and Algebraic Geometry, Gauge Symmetry, M-Theory, Space- Time Symmetries
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:oru:diva-111150DOI: 10.1007/JHEP02(2020)145ISI: 000519755100002Scopus ID: 2-s2.0-85080122421OAI: oai:DiVA.org:oru-111150DiVA, id: diva2:1832122
Funder
Swedish Research Council, 2015-04268Available from: 2024-01-28 Created: 2024-01-28 Last updated: 2024-02-12Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Palmkvist, Jakob

Search in DiVA

By author/editor
Palmkvist, Jakob
In the same journal
Journal of High Energy Physics (JHEP)
Algebra and Logic

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 6 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf