Enhanced gauge symmetry from `toric' G_2 cones

Abstract

We review our recent work on M-theory compactifications on `toric' G_2 cones, a class of models which generalize those recently considered by Acharya and Witten and lead to chiral matter in four dimensions. We explain our criteria for identifying the gauge group content of such theories and briefly discuss the associated metrics.

arXiv comment12 pages, 3 figures

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• Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples
• New G2 holonomy metrics, D6 branes with inherent U(1)xU(1) isometry and gamma-deformations
• Toric hyperkahler manifolds with quaternionic Kahler bases and supergravity solutions