2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/207949An explicit proof of the existence of nontrivial vacua in the pure supersymmetric Yang-Mills theories with higher orthogonal SO(N), N>=7 or the G_2 gauge group defined on a 3-torus with periodic boundary conditions is given. Extra vacuum states are separated by an energy barrier from the perturbative vacuum A_i=0 and its gauge copies.8 pages, no figures, latexHigh Energy Physics - TheoryIsolated vacua in supersymmetric Yang-Mills theoriestext