Gravity Dual to Pure Confining Gauge Theory

TL;DR

This paper constructs a gravity dual in string theory for a pure confining N=1 supersymmetric SU(N) gauge theory, capturing its gauge coupling behavior and chiral symmetry breaking.

Contribution

It introduces a novel type IIB string theory background that models the gauge theory's dynamics, including confinement and symmetry breaking patterns.

Findings

Successfully reproduces gauge coupling running

Captures chiral symmetry breaking pattern

Provides a geometric dual for pure confining gauge theory

Abstract

We find a dual gravity theory to pure confining N=1 supersymmetric SU(N) gauge theory in four dimensions which has the correct gauge coupling running in addition to reproducing the appropriate pattern of chiral symmetry breaking. It is constructed in type IIB string theory on R^{1,3} X R^1 X S^2 X S^3 background with N number of electric D5 and 2N number of magnetic D7-branes filling four dimensional spacetime and wrapping respectively two and four cycles.