AdS Membranes Wrapped on Surfaces of Arbitrary Genus

Details AdS Membranes Wrapped on Surfaces of Arbitrary Genus AdS Membranes Wrapped on Surfaces of Arbitrary Genus

1998-04-03

arxiv.org/abs/hep-th/9804031v2

Phys.Lett. B432 (1998) 74-82

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX. Reference added. Minor clarifications, in particular on the definition of energies

Scientific paper

10.1016/S0370-2693(98)00625-X

We present and analyze solutions of D=11 supergravity describing the ``near-horizon'' (i.e., asymptotically AdS_4 x S^7) geometry of M2-branes wrapped on surfaces of arbitrary genus. We study the forces experienced by test M2-branes in such backgrounds, and find evidence that extremal branes on surfaces of genera higher than the torus are unstable. Using the holographic connection between AdS spaces and superconformal field theories in the large N limit, we discuss the phases of the associated 2+1 dimensional theories. Finally, we also study the extension of these solutions to other branes, in particular to D2-branes.

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