Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity
Abstract
We construct all complete metrics of cohomogeneity one G(2) holonomy with S3 x S3 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.
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