Branes Wrapped on Coassociative Cycles

TL;DR

This paper constructs a supergravity solution for D6-branes wrapped on coassociative cycles in G_2 manifolds, providing a dual description of 3D N=1 supersymmetric Yang-Mills theory and its uplift to M-theory on Spin(7) backgrounds.

Contribution

It presents a new supergravity solution for wrapped D6-branes on coassociative cycles, linking G_2 and Spin(7) holonomy geometries with supersymmetric gauge theories.

Findings

Supergravity solution preserves two supercharges.

Solution describes dual of 3D N=1 supersymmetric Yang-Mills.

Uplift to eleven dimensions yields Spin(7) holonomy background.

Abstract

We obtain a supergravity solution arising when D6-branes are wrapped on coassociative four-cycles of constant curvature in seven manifolds of G_2 holonomy. The solutions preserve two supercharges and thus represent supergravity duals of three dimensional Yang-Mills with N=1 supersymmetry. When uplifted to eleven dimensions our solution describes M-theory on the background of an eight manifold with Spin(7) holonomy.