Abstract
We discuss the class of BPS saturated M-branes that are in one-to-one correspondence with the Freund-Rubin compactifications of M-theory on either AdS 4 × G/ H or AdS 7 × G/ H, where G/ H is any of the seven (or four) dimensional Einstein coset manifolds with Killing spinors classified long ago in the context of Kaluza-Klein supergravity. These G/ H M-branes, whose existence was previously pointed out in the literature, are solitons that interpolate between flat space at infinity and the old Kaluza-Klein compactifications at the horizon. They preserve N/2 supersymmetries where N is the number of Killing spinors of the AdS × G/ H vacuum. A crucial ingredient in our discussion is the identification of a solvable Lie algebra parametrization of the Lorentzian noncompact coset SO(2, p + 1)/ SO(1, p + 1) corresponding to anti-de Sitter space AdS p + 2. The solvable coordinates are those naturally emerging from the near horizon limit of the G/ H p-brane and correspond to the Bertotti-Robinson form of the anti-de Sitter metric. The pull-back of anti-de Sitter isometries on the p-brane world-volume contain, in particular, the recently found broken conformal transformations
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