Moduli Space of Global Symmetry in N = 1 Supersymmetric Theories and the Quasi-Nambu-Goldstone Bosons

We derive the moduli space for the global symmetry in N = 1 supersymmetric theories. We show, at the generic points, that it coincides with the space of quasi-Nambu-Goldstone (QNG) bosons, which appear besides the ordinary Nambu-Goldstone (NG) bosons when the global symmetry G breaks down spontaneously to its subgroup H with preserving N = 1 supersymmetry. At the singular points, most of the NG bosons change to the QNG bosons and the unbroken global symmetry is enhanced. The G-orbits parametrized by the NG bosons are the fibre at the moduli space and the singular points correspond to the point where the H-orbit (in the G-orbit) shrinks. We also show that the low-energy effective Lagrangian is an arbitrary function of the moduli parameters. ∗[email protected], [email protected].