Analytic non-supersymmetric background dual of a confining gauge theory and the corresponding plane wave theory of Hadrons

TL;DR

This paper constructs an analytic non-supersymmetric deformation of the Klebanov-Strassler background, analyzing its gauge theory dual, vacuum energy differences, symmetry breaking, and the string theory of heavy hadrons called annulons, revealing unexpected supersymmetry in a sector.

Contribution

It provides the first analytic non-supersymmetric deformation of the Klebanov-Strassler background and explores its implications for gauge theory and string duals.

Findings

Vacuum energy difference matches field theory predictions

Breaking of $U(1)_R$ symmetry analyzed

String spectrum of annulons has two fermionic zero modes

Abstract

We find a regular analytic 1st order deformation of the Klebanov-Strassler background. From the dual gauge theory point of view the deformation describes supersymmetry soft breaking gaugino mass terms. We calculate the difference in vacuum energies between the supersymmetric and the non-supersymmetric solutions and find that it matches the field theory prediction. We also discuss the breaking of the $U(1)_R$ symmetry and the space-time dependence of the gaugino bilinears two point function. Finally, we determine the Penrose limit of the non-supersymmetric background and write down the corresponding plane wave string theory. This string describes ``annulons''-heavy hadrons with mass proportional to large global charge. Surprisingly the string spectrum has two fermionic zero modes. This implies that the sector in the non-supersymmetric gauge theory which is the dual of the annulons is supersymmetric.