The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory

TL;DR

This paper explores a supergravity solution that interpolates between different conifold geometries, illustrating a geometric transition and its relation to the baryonic branch of the Klebanov-Strassler theory, including the emergence of a fuzzy two-sphere.

Contribution

It presents a new gravity solution demonstrating a geometric transition between deformed and resolved conifolds with flux and branes, linking supergravity to gauge theory baryonic branches.

Findings

The solution interpolates between deformed and resolved conifolds.

It models the baryonic branch of the Klebanov-Strassler theory.

A fuzzy two-sphere emerges in the field theory along the baryonic branch.

Abstract

We study a gravity solution corresponding to fivebranes wrapped on the $S^2$ of the resolved conifold. By changing a parameter the solution continuously interpolates between the deformed conifold with flux and the resolved conifold with branes. Therefore, it displays a geometric transition, purely in the supergravity context. The solution is a simple example of torsional geometry and may be thought of as a non-K\"ahler analog of the conifold. By U-duality transformations we can add D3 brane charge and recover the solution in the form originally derived by Butti et al. This describes the baryonic branch of the Klebanov-Strassler theory. Far along the baryonic branch the field theory gives rise to a fuzzy two-sphere. This corresponds to the D5 branes wrapping the two-sphere of the resolved conifold in the gravity solution.