An analysis on a supersymmetric chiral gauge theory with no flat direction

Abstract

The low energy effective theory of the N=1 supersymmetric SU(5) gauge theory with chiral superfields in the 5* and 10 representations is constructed. Instead of postulating the confinement of SU(5) (confining picture), only the confinement of its subgroup SU(4) is postulated (Higgs picture), and the effective fields are SU(4)-singlet but SU(5)-variant. The classical scalar potential which ensures unique supersymmetric vacuum at the classical level is incorporated into the Kaehler potential of the effective fields. We show that supersymmetry and all other global symmetry are spontaneously broken. The scales of these symmetry breaking and the particle spectrum including Nambu-Goldstone particles are explicitly calculated, and no large scale hierarchy is found.