Gauge Theory at Large N and New G_2 Holonomy Metrics

TL;DR

This paper introduces a new family of G_2 holonomy metrics that serve as supergravity duals for large N supersymmetric Yang-Mills theories, extending previous geometric constructions in M-theory.

Contribution

It constructs a new one-parameter family of G_2 holonomy metrics and extends it to a two-parameter family, linking them to D6-branes and supergravity solutions.

Findings

New G_2 holonomy metrics found and extended to two parameters.

Metrics describe M-theory lift of D6-branes on the deformed conifold.

Metrics relate to supergravity duals of large N supersymmetric Yang-Mills.

Abstract

We find a one-parameter family of new G_2 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 G_2 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.