Homogeneous M2 duals

Jose Figueroa-O'Farrill, Mara Ungureanu

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Motivated by the search for new gravity duals to M2 branes with N > 4 supersymmetry — equivalently, M-theory backgrounds with Killing superalgebra osposp(N |4) for N > 4 — we classify (except for a small gap) homogeneous M-theory backgrounds with symmetry Lie algebra soso(n) ⊕ soso(3, 2) for n = 5, 6, 7. We find that there are no new backgrounds with n = 6, 7 but we do find a number of new (to us) backgrounds with n = 5. All backgrounds are metrically products of the form AdS4 × P 7, with P riemannian and homogeneous under the action of SO(5), or S 4 × Q 7 with Q lorentzian and homogeneous under the action of SO(3,2). At least one of the new backgrounds is supersymmetric (albeit with only N = 2) and we show that it can be constructed from a supersymmetric Freund-Rubin background via a Wick rotation. Two of the new backgrounds have only been approximated numerically.
Original languageEnglish
Number of pages54
JournalJournal of High Energy Physics
Issue number1
Early online date25 Jan 2016
Publication statusPublished - 25 Jan 2016


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