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Título

On the maximal superalgebras of supersymmetric backgrounds

AutorFigueroa-O'Farrill, José; Hackett-Jones, E.; Mousopoulos, G.; Simón, Joan
Fecha de publicación16-ene-2009
EditorInstitute of Physics Publishing
CitaciónClass.Quant.Grav.26:035016,2009
ResumenIn this paper 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 it is isomorphic to osp(1 vertical bar 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.
Descripción17 pages.-- ISI article identifier:000262585300016.-- ArXiv pre-print avaible at:http://arxiv.org/abs/0809.5034
Versión del editorhttp://dx.doi.org/10.1088/0264-9381/26/3/035016
URIhttp://hdl.handle.net/10261/15860
DOI10.1088/0264-9381/26/3/035016
ISSN0264-9381
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