Symmetries of M-theory and free Lie superalgebras
2019 (English) In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, article id 160Article in journal (Refereed) Published
Abstract [en]
We study systematically various extensions of the Poincare superalgebra. The most general structure starting from a set of spinorial supercharges Q is a free Lie superalgebra that we discuss in detail. We explain how this universal extension of the Poincare 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.
Place, publisher, year, edition, pages Springer, 2019. no 3, article id 160
Keywords [en]
Global Symmetries, M-Theory, Space-Time Symmetries, Supersymmetric Gauge Theory
National Category
Algebra and Logic
Identifiers URN: urn:nbn:se:oru:diva-111155 DOI: 10.1007/JHEP03(2019)160 ISI: 000462972900001 Scopus ID: 2-s2.0-85069193821 OAI: oai:DiVA.org:oru-111155 DiVA, id: diva2:1832120
Funder Swedish Research Council, 2015-04268
Note JG has been supported in part by MINECO FPA2016-76005-C2-1-P and Consolider CPAN and by the Spanish goverment (MINECO/FEDER) under project MDM-2014-0369 of ICCUB (Unidad de Excelencia Maria de Maeztu). The work of JP is supported by the Swedish Research Council, project no. 2015-04268. It began at the Mitchell Institute for Fundamental Physics and Astronomy at the Texas A&M University and was then supported in part by NSF grant PHY-1214344.
2024-01-282024-01-282024-02-09 Bibliographically approved