3 research outputs found
Homogeneous M2 duals
Motivated by the search for new gravity duals to M2 branes with
supersymmetry --- equivalently, M-theory backgrounds with Killing superalgebra
for --- we classify homogeneous M-theory
backgrounds with symmetry Lie algebra for . We find that there are no new backgrounds
with but we do find a number of new (to us) backgrounds with . All
backgrounds are metrically products of the form , with riemannian and homogeneous under the action of
, or with lorentzian and homogeneous
under the action of . At least one of the new
backgrounds is supersymmetric (albeit with only ) 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