Supersymmetric composite gauge fields with compensators

We study supersymmetric composite gauge theory, supplemented with compensator mechanism. As our first example, we give the formulation of N=1N=1 supersymmetric non-Abelian composite gauge theory without the kinetic term of a non-Abelian gauge field. The important ingredient is the Proca–Stueckelberg-type compensator scalar field that makes the gauge-boson field equation non-singular, i.e.  , the field equation can be solved for the gauge field algebraically as a perturbative expansion. As our second example, we perform the gauging of chiral-symmetry for N=1N=1 supersymmetry in four dimensions by a composite gauge field. These results provide supporting evidence for the consistency of the mechanism that combines the composite gauge field formulations and compensator formulations, all unified under supersymmetry.