On SUSY Breaking And \chiSB From String Duals

TL;DR

This paper constructs string duals for 3D and 4D N=1 SYM theories with SO and Sp gauge groups, confirming conjectured patterns of supersymmetry and chiral symmetry breaking through exact duality analysis.

Contribution

It provides explicit regular string duals for SO and Sp gauge groups in 3D and 4D N=1 SYM, confirming symmetry breaking patterns predicted by field theory.

Findings

Supersymmetry breaking pattern matches Witten's conjecture for k<h/2.

Chiral symmetry breaking pattern Z_{2h}--> Z_2 is reproduced.

Exact duals validate theoretical predictions of symmetry breaking.

Abstract

We find regular string duals of three dimensional N=1 SYM with a Chern-Simons interaction at level k for SO and Sp gauge groups. Using the string dual we exactly reproduce the conjectured pattern of supersymmetry breaking proposed by Witten by showing that there is dynamical supersymmetry breaking for k<h/2 while supersymmetry remains unbroken for k>= h/2, where h is the dual Coxeter number of the gauge group. We also find regular string duals of four dimensional N=1 SYM for SO and Sp gauge groups and exactly reproduce the expected pattern of chiral symmetry breaking Z_{2h}--> Z_2 by analyzing the symmetries of the string solution.