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  Beyond E11

Bossard, G., Kleinschmidt, A., Palmkvist, J., Pope, C. N., & Sezgin, E. (2017). Beyond E11. Journal of high energy physics: JHEP, 2017(05): 020. doi:10.1007/JHEP05(2017)020.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-0A57-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-2B6B-E
Genre: Journal Article

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 Creators:
Bossard, Guillaume, Author
Kleinschmidt, Axel1, Author              
Palmkvist, Jakob, Author
Pope, Christopher N., Author
Sezgin, Ergin, Author
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We study the non-linear realisation of E11 originally proposed by West with particular emphasis on the issue of linearised gauge invariance. Our analysis shows even at low levels that the conjectured equations can only be invariant under local gauge transformations if a certain section condition that has appeared in a different context in the E11 literature is satisfied. This section condition also generalises the one known from exceptional field theory. Even with the section condition, the E11 duality equation for gravity is known to miss the trace component of the spin connection. We propose an extended scheme based on an infinite-dimensional Lie superalgebra, called the tensor hierarchy algebra, that incorporates the section condition and resolves the above issue. The tensor hierarchy algebra defines a generalised differential complex, which provides a systematic description of gauge invariance and Bianchi identities. It furthermore provides an E11 representation for the field strengths, for which we define a twisted first order self-duality equation underlying the dynamics.

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 Dates: 2017-03-032017
 Publication Status: Published in print
 Pages: 96 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1703.01305
URI: http://arxiv.org/abs/1703.01305
DOI: 10.1007/JHEP05(2017)020
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2017 (05) Sequence Number: 020 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111021927548002