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D6 branes and M theory geometrical transitions from gauged supergravity

2001; Springer Nature; Volume: 2001; Issue: 04 Linguagem: Inglês

10.1088/1126-6708/2001/04/028

1127-2236

José D. Edelstein, Carlos Núñez,

Noncommutative and Quantum Gravity Theories

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 G2 holonomy. We further discuss on the flop and other possible geometrical transitions and its implications.