We derive the moduli space of the global symmetry in N = 1 supersymmetric theories. We show that, at the generic points, it coincides with the space of quasi-NambuGoldstone (QNG) bosons, which appear besides the ordinary Nambu-Goldstone (NG) bosons when the global symmetry G breaks down spontaneously to its subgroup H with preservation of N = 1 supersymmetry. At the singular points, most of the NG bosons change to QNG bosons and the unbroken global symmetry is enhanced. The G orbits parametrized by the NG bosons are the fiber 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 the arbitrary function of the moduli parameters.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics