On SUSY Breaking And \chiSB From String Duals

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.