Branes Wrapped on Coassociative Cycles

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages. Latex file. References added

Scientific paper

10.1016/S0370-2693(01)01219-9

We obtain a supergravity solution arising when D6-branes are wrapped on coassociative four-cycles of constant curvature in seven manifolds of G_2 holonomy. The solutions preserve two supercharges and thus represent supergravity duals of three dimensional Yang-Mills with N=1 supersymmetry. When uplifted to eleven dimensions our solution describes M-theory on the background of an eight manifold with Spin(7) holonomy.

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