  We write explicit Lagrangian and supersymmetry transformation rules using the
component fields in the ${\cal N}=2,3$ GT theories. In the component field
expansion, the manifestation of an additional ${\cal N}=1$ supersymmetry is
verified in the ${\cal N}=3$ GT theory. We find maximal supersymmetry
preserving mass-deformation of the GT theories and their classical
supersymmetric discrete vacua. Some interesting aspects of the set of discrete
vacua are discussed in comparison with the ABJM case.
