On the maximal superalgebras of supersymmetric backgrounds

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dc.creatorFigueroa-O'Farrill, José
dc.creatorHackett-Jones, Emily
dc.creatorMoutsopoulos, George
dc.creatorSimón, Joan
dc.date2008-09-29
dc.date.accessioned2026-07-07T12:34:17Z
dc.date.available2026-07-07T12:34:17Z
dc.descriptionIn this note we give a precise definition of the notion of a maximal superalgebra of certain types of supersymmetric supergravity backgrounds, including the Freund-Rubin backgrounds, and propose a geometric construction extending the well-known construction of its Killing superalgebra. We determine the structure of maximal Lie superalgebras and show that there is a finite number of isomorphism classes, all related via contractions from an orthosymplectic Lie superalgebra. We use the structure theory to show that maximally supersymmetric waves do not possess such a maximal superalgebra, but that the maximally supersymmetric Freund-Rubin backgrounds do. We perform the explicit geometric construction of the maximal superalgebra of AdS_4 x S^7 and find that is isomorphic to osp(1|32). We propose an algebraic construction of the maximal superalgebra of any background asymptotic to AdS_4 x S^7 and we test this proposal by computing the maximal superalgebra of the M2-brane in its two maximally supersymmetric limits, finding agreement.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0809.5034
dc.identifierhttp://arxiv.org/abs/0809.5034
dc.identifierClass.Quant.Grav.26:035016,2009
dc.identifierdoi:10.1088/0264-9381/26/3/035016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217371
dc.subjectHigh Energy Physics - Theory
dc.titleOn the maximal superalgebras of supersymmetric backgrounds
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