Gauge Theory at Large N and New G₂ Holonomy Metrics

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We find a one-parameter family of new G₂ holonomy metrics and demonstrate that it can be extended to a two-parameter family. These metrics play an important role as the supergravity dual of the large N limit of four dimensional supersymmetric Yang-Mills. We show that these G₂ holonomy metrics describe the M-theory lift of the supergravity solution describing a collection of D6-branes wrapping the supersymmetric three-cycle of the deformed conifold geometry for any value of the string coupling constant.