The Yang Mills* Gravity Dual

TL;DR

This paper presents a ten-dimensional supergravity geometry dual to a non-supersymmetric Yang Mills gauge theory, exhibiting a stable scalar potential, a mass gap, and a glueball spectrum consistent with previous theoretical and lattice results.

Contribution

It constructs a novel supergravity background that models non-supersymmetric Yang Mills theory with UV supersymmetry restoration and matches glueball spectra with existing data.

Findings

Stable scalar potential confirmed by brane probe analysis.

The glueball spectrum has a mass gap and discrete levels.

Predicted glueball masses agree within 10% of lattice and previous AdS/CFT results.

Abstract

We describe a ten dimensional supergravity geometry which is dual to a gauge theory that is non-supersymmetric Yang Mills in the infra-red but reverts to $N$=4 super Yang Mills in the ultra-violet. A brane probe of the geometry shows that the scalar potential of the gauge theory is stable. We discuss the infra-red behaviour of the solution. The geometry describes a Schroedinger equation potential that determines the glueball spectrum of the theory; there is a mass gap and a discrete spectrum. The glueball mass predictions match previous AdS/CFT Correspondence computations in the non-supersymmetric Yang Mills theory, and lattice data, at the 10% level. (Based on a talk presented at SCGT02 in Nagoya, Japan)