2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217042We demonstrate, by construction, that simple renormalizable matrix potentials with S_N, as opposed to O(N), symmetry can exhibit an exponentially large number of inequivalent deep local minima.LaTeX, 9 pages, 2 figures. Additional applications and references addedCondensed MatterHigh Energy Physics - Theorytext