Towards the large N limit of pure N=1 super Yang Mills

TL;DR

This paper constructs a supergravity background corresponding to large N pure N=1 super Yang-Mills theory, demonstrating confinement and chiral symmetry breaking, and discusses implications for glueball and Kaluza-Klein state masses.

Contribution

It provides a smooth gravity solution for large N pure N=1 super Yang-Mills, capturing key IR features and analyzing the mass spectrum implications.

Findings

Supergravity solution is smooth and exhibits confinement.

The solution breaks U(1)_R chiral symmetry appropriately.

Glueball masses are comparable to Kaluza-Klein states, with potential for decoupling.

Abstract

We find the gravity solution corresponding to a large number of NS or D fivebranes wrapped on a two sphere so that we have pure ${\cal N}=1$ super Yang-Mills in the IR. The supergravity solution is smooth, it shows confinement and it breaks the $U(1)_R$ chiral symmetry in the appropriate way. When the gravity approximation is valid the masses of glueballs are comparable to the masses of Kaluza Klein states on the fivebrane, but if we could quantize strings on this background it looks like we should be able to decouple the KK states.