D6 branes and M theory geometrical transitions from gauged supergravity

TL;DR

This paper explores supergravity solutions dual to supersymmetric theories from D6 branes wrapping cycles, revealing M-theory backgrounds with conifold resolutions and G_2 holonomy, and discusses geometric transitions.

Contribution

It constructs explicit supergravity duals for wrapped D6 branes and analyzes their geometric transitions in M-theory, advancing understanding of gauge/gravity correspondence.

Findings

Supergravity solutions correspond to M-theory on resolved conifold and G_2 manifolds.

Analysis of flop and other geometric transitions in these backgrounds.

Implications for supersymmetric gauge theories and string theory dualities.

Abstract

We study the supergravity duals of supersymmetric theories arising in the world-volume of D6 branes wrapping holomorphic two-cycles and special Lagrangian three-cycles within the framework of eight dimensional gauged supergravity. When uplifted to 11d, our solutions represent M-theory on the background of, respectively, the small resolution of the conifold and a manifold with G_2 holonomy. We further discuss on the flop and other possible geometrical transitions and its implications.