MODEL OF SUPERSYMMETRIC QUANTUM-FIELD THEORY WITH BROKEN PARITY SYMMETRY

Recently, it was observed that self-interacting scalar quantum field t heories having a non-Hermitian interaction term of the form g(i phi)(2 +delta), where delta is a real positive parameter, are physically acce ptable in the sense that the energy spectrum is real and bounded below . Such theories possess PT invariance, but they are not symmetric unde r parity reflection or time reversal separately. This broken parity sy mmetry is manifested in a nonzero value for [phi] even if delta is an even integer. This paper extends this idea to a two-dimensional supers ymmetric quantum field theory whose superpotential is S(phi)=-ig(i phi )(1+delta). The resulting quantum field theory exhibits a broken parit y symmetry for all delta>0. However, supersymmetry remains unbroken, w hich is verified by showing that the ground-state energy density vanis hes and that the fermion-boson mass ratio is unity.