The Mesonic Branch of the Deformed Conifold

TL;DR

This paper investigates D3-branes on the deformed conifold, revealing an RG flow in the dual gauge theory and the emergence of an AdS throat, with a numerical warp factor solution and superpotential analysis.

Contribution

It provides a numerical warp factor solution and elucidates the mesonic branch RG flow in the Klebanov-Strassler background, connecting supergravity and gauge theory features.

Findings

Numerical solution for the warp factor near D3-branes

Emergence of AdS throat in the geometry

Cubic superpotential appears at the end of the RG flow

Abstract

Using coordinates that manifest the S^2-S^3 split of the base, we study D3-branes localized on the three-sphere in the Klebanov-Strassler background. We find a numerical solution for the warp factor and show the emergence of the AdS throat near the stack. In the dual gauge theory, this corresponds to an RG flow along the mesonic branch. We demonstrate how the cubic superpotential of the N=4 SYM theory emerges at the end of the RG flow.