Let’s Twist Again: General Metrics of G2 Holonomy from Gauged Supergravity

We construct all possible complete metrics of cohomogeneity one G2 holonomy with S × S principal orbits from gauged supergravity. Our approach rests on a generalization of the twisting procedure used in this framework. It corresponds to a non-trivial embedding of the special Lagrangian three–cycle wrapped by the D6–branes in the lower dimensional supergravity. There are constraints that neatly reduce the general ansatz to a six functions one. Within this approach, the Hitchin system and the flop transformation are nicely realized in eight dimensional gauged supergravity. US-FT-5/02 November 2002 hep-th/0211203 [email protected] [email protected] [email protected]