SPONTANEOUS SUPERSYMMETRY BREAKING IN THE GAUGE-INVARIANT SUPERSYMMETRIC NONLINEAR SIGMA-MODELS

We use the holomorphic formalism to investigate supersymmetry breaking of nonlinear models. For the homogeneous or nonhomogeneous nonlinear model with nondoubled Goldstone superfields, supersymmetry is broken and spin shattering occurs, which is the consequence of the existence of nondoubled Goldstone superfields. In the case of full-doubled nonlinear models, supersymmetry breaking is model dependent if we do not consider the nonlinear model as an effective theory of a fundamental linear theory. Otherwise supersymmetry should be preserved and the only possibility is full doubling. © 1990 The American Physical Society.