A Stable Supergravity Dual of Non-supersymmetric Glue

TL;DR

This paper constructs a stable non-supersymmetric supergravity background dual to a confining gauge theory, analyzing its stability, spectrum, and implications for non-supersymmetric Yang Mills theory.

Contribution

It presents a complete 10D supergravity background for non-supersymmetric deformations of AdS/CFT, demonstrating stability and confinement features.

Findings

The background is stable with a bounded potential.

The spectrum of glueballs is discrete and confined.

All scalar fields acquire positive mass in the IR.

Abstract

We study non-supersymmetric fermion mass and condensate deformations of the AdS/CFT Correspondence. The 5 dimensional supergravity flows are lifted to a complete and remarkably simple 10 dimensional background. A brane probe analysis shows that when all the fermions have an equal mass a positive mass is generated for all six scalar fields leaving non-supersymmetric Yang Mills theory in the deep infra-red. We numerically determine the potential, produced by the background, in the Schroedinger equation relevant to the study of O^++ glueballs. The potential is a bounded well, providing evidence of stability and for a discrete, confined spectrum. The geometry can also describe the supergravity background around an (unstable) fuzzy 5-brane.