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Symmetries of M-theory and free Lie superalgebras
Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, Barcelona, Spain.
Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Potsdam, Germany; International Solvay Institutes, Brussels, Belgium.
Division for Theoretical Physics, Department of Physics, Chalmers University of Technology, Gothenburg, Sweden.
2019 (Engelska)Ingår i: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, nr 3, artikel-id 160Artikel i tidskrift (Refereegranskat) 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.

Ort, förlag, år, upplaga, sidor
Springer, 2019. nr 3, artikel-id 160
Nyckelord [en]
Global Symmetries, M-Theory, Space-Time Symmetries, Supersymmetric Gauge Theory
Nationell ämneskategori
Algebra och logik
Identifikatorer
URN: urn:nbn:se:oru:diva-111155DOI: 10.1007/JHEP03(2019)160ISI: 000462972900001Scopus ID: 2-s2.0-85069193821OAI: oai:DiVA.org:oru-111155DiVA, id: diva2:1832120
Forskningsfinansiär
Vetenskapsrådet, 2015-04268
Anmärkning

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.

Tillgänglig från: 2024-01-28 Skapad: 2024-01-28 Senast uppdaterad: 2024-02-09Bibliografiskt granskad

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