3 research outputs found

    Homogeneous M2 duals

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    Motivated by the search for new gravity duals to M2 branes with N>4N>4 supersymmetry --- equivalently, M-theory backgrounds with Killing superalgebra osp(N4)\mathfrak{osp}(N|4) for N>4N>4 --- we classify homogeneous M-theory backgrounds with symmetry Lie algebra so(n)so(3,2)\mathfrak{so}(n) \oplus \mathfrak{so}(3,2) for n=5,6,7n=5,6,7. We find that there are no new backgrounds with n=6,7n=6,7 but we do find a number of new (to us) backgrounds with n=5n=5. All backgrounds are metrically products of the form AdS4×P7\operatorname{AdS}_4 \times P^7, with PP riemannian and homogeneous under the action of SO(5)\operatorname{SO}(5), or S4×Q7S^4 \times Q^7 with QQ lorentzian and homogeneous under the action of SO(3,2)\operatorname{SO}(3,2). At least one of the new backgrounds is supersymmetric (albeit with only N=2N=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. (The second version of this paper includes an appendix by Alexander~S.~Haupt, closing a gap in our original analysis.)Comment: 56 page

    On Lorentz dynamics: From group actions to warped products via homogeneous spaces

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