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 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.

arXiv comment31 pages, latex; v2: minor changes, references added

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• Domain Walls, Hitchin's Flow Equations and G_2-Manifolds
• The chiral anomaly from M theory
• Deforming baryons into confining strings
• On the Universality Class of Certain String Theory Hadrons
• Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples
• The Supermembrane with Central Charges on a G2 Manifold
• Supersymmetric solutions based on Y^{p,q} and L^{p,q,r}
• New Spin(7) holonomy metrics admiting G2 holonomy reductions and M-theory/IIA dualities
• Supersymmetry and Lorentzian holonomy in various dimensions
• New G2 holonomy metrics, D6 branes with inherent U(1)xU(1) isometry and gamma-deformations
• Supersymmetric quantum mechanics from wrapped branes
• Warped de Sitter compactifications in the scalar-tensor theory
• New Solution of D=11 Supergravity on S^7 from D=4
• Supersymmetry and flavor in a sugra dual of N=1 Yang-Mills