Non-Linear Realization in Supersymmetric Theories

Abstract

Non-linear realization is extensively studied in N=1 supersymmetric theories with a global symmetry group G breaking down to its subgroup H. A subgroup Ĥ of GC, the complexification of the group G, is defined in such a way that it leaves the minimal point of the effective potential invariant. The Ĥ determines the types of the non-linear realization. The general structure of Ĥ is fully investigated and summarized in several theorems. General methods are shown how to construct the supersymmetric non-linear lagrangians. Discussions are also given on matter fields.