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arXiv · hep-th/0211203

Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity

J. D. Edelstein·A. Paredes·A. V. Ramallo
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Abstract

We construct all complete metrics of cohomogeneity one G(2) holonomy with S^3 x S^3 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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J. D. Edelstein, A. Paredes, A. V. Ramallo. 2002-12-13. Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity. https://doi.org/10.1088/1126-6708%2F2003%2F01%2F011

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