D6 branes and M theory geometrical transitions from gauged supergravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, harvmac, one figure; references added

Scientific paper

10.1088/1126-6708/2001/04/028

We study the supergravity duals of supersymmetric theories arising in the world-volume of D6 branes wrapping holomorphic two-cycles and special Lagrangian three-cycles within the framework of eight dimensional gauged supergravity. When uplifted to 11d, our solutions represent M-theory on the background of, respectively, the small resolution of the conifold and a manifold with G_2 holonomy. We further discuss on the flop and other possible geometrical transitions and its implications.

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