Bosonic solutions of eleven-dimensional supergravity were studied in the 1980s i

Question

Bosonic solutions of eleven-dimensional supergravity were studied in the 1980s in the context of Kaluza-Klein supergravity. The topic received renewed attention in the mid-to-late 1990s as a result of the branes and duality paradigm and the AdS/CFT correspondence.

My question is whether the Englert solution has a modern avatar, perhaps as the near-horizon limit of some solution.

Bosonic solutions of eleven-dimensional supergravity were studied in the 1980s in the context of Kaluza-Klein supergravity. The topic received renewed attention in the mid-to-late 1990s as a result of the branes and duality paradigm and the AdS/CFT correspondence. One of the earliest solutions of eleven-dimensional supergravity is the maximally supersymmetric Freund--Rubin background with geometry AdS4 and the resulting 4-form still obeys the supergravity field equations, albeit with a different relation between the radii of curvature of the two factors. The flux breaks the SO(8) symmetry of the sphere to an SO(7) subgroup. My question is whether the Englert solution has a modern avatar, perhaps as the near-horizon limit of some solution. S7 ; namely, singling out one of the Killing spinors of the solution, a suitable multiple of the 4-form one constructs by squaring the spinor can be added to the volume form in AdS4 . The radii of curvatures of the two factors are furthermore in a ratio of 1:2. The modern avatar of this solution is as the near-horizon limit of a stack of M2 branes. Shortly after the original Freund--Rubin solution was discovered, Englert discovered a deformation of this solution where one could turn on flux on the AdS4 X S7 and 4-form flux proportional to the volume form on

Explanation / Answer

If the 1998 paper by Castellani et al. below is right,

http://arxiv.org/abs/hep-th/9803039

then all such solutions including Englert's elegant solution

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