Half-BPS quotients in M-theory: ADE with a twist

Paul de Medeiros, Jose Figueroa-O'Farrill, Sunil Gadhia, Elena Mendez-Escobar

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We classify Freund-Rubin backgrounds of eleven-dimensional supergravity of the form AdS(4) x X-7 which are at least half BPS-equivalently, smooth quotients of the round 7-sphere by finite subgroups of SO(8) which admit an (N > 3)-dimensional subspace of Killing spinors. The classification is given in terms of pairs consisting of an ADE subgroup of SU(2) and an automorphism defining its embedding in SO(8). In particular we find novel half-BPS quotients associated with the subgroups of type D-n >= 6, E-7 and E-8 and their outer automorphisms.

Original languageEnglish
Article number038
Pages (from-to)-
Number of pages19
JournalJournal of High Energy Physics
Issue number10
Publication statusPublished - Oct 2009


  • p-branes
  • M-Theory

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