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

TL;DR

This work constructs a gravity dual for the large-N limit of pure ${\cal N}=1$ SYM by wrapping NS/D5 branes on an $S^2$ with a topological twist, yielding a smooth background that exhibits confinement and breaks the $U(1)_R$ symmetry. The solution proceeds through seven-dimensional gauged supergravity and a monopole-like $SU(2)_R$ gauge field before being uplifted to ten dimensions with NS flux, capturing a flow from a little string theory to IR pure ${\cal N}=1$ YM and revealing $N$ discrete vacua connected by domain walls. It analyzes the fate of the R-symmetry, the domain-wall structure, and the decoupling limit toward a pure four-dimensional theory, discussing potential RR-driven string models or Liouville-like descriptions for the decoupled sector. The results provide a concrete geometric framework for studying large-N pure ${\cal N}=1$ YM in string theory, clarifying the roles of flux, symmetry breaking, and brane/domain-wall dynamics in such duals.

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.