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Symmetries of M-theory and free Lie superalgebras

Gomis, J., Kleinschmidt, A., & Palmkvist, J. (2019). Symmetries of M-theory and free Lie superalgebras. Journal of high energy physics: JHEP, 2019(03): 160. doi:10.1007/JHEP03(2019)160.

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Creators:
Gomis, Joaquim, Author
Kleinschmidt, Axel1, Author
Palmkvist, Jakob, Author
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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Free keywords: High Energy Physics - Theory, hep-th
Abstract: We study systematically various extensions of the Poincar\'e superalgebra. The most general structure starting from a set of spinorial supercharges $Q_\alpha$ is a free Lie superalgebra that we discuss in detail. We explain how this universal extension of the Poincar\'e superalgebra gives rise to many other algebras as quotients, some of which have appeared previously in various places in the literature. In particular, we show how some quotients can be very neatly related to Borcherds superalgebras. The ideas put forward also offer some new angles on exotic branes and extended symmetry structures in M-theory.

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Dates: 2018-09-242019
Publication Status: Published in print
Pages: 36 pages
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1809.09171
URI: http://arxiv.org/abs/1809.09171
DOI: 10.1007/JHEP03(2019)160
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: 2019 (03) Sequence Number: 160 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002