Dynamical breaking of symmetries beyond the standard model and supergeometry

Abstract

Group theoretical realizations containing the electroweak sector of the Standard Model (SM) are discussed from the supersymmetry point of view. Dynamical breaking of the symmetry is performed and the corresponding quadratic (super Yang–Mills) Lagrangian is obtained. Our goal is to enlarge the symmetry by mean of supercoherent states of the Klauder–Perelomov type that are defined taking into account the geometry of the coset. The obtained structure is based in the simplest supergroup as the structural basis of the electroweak sector of the SM. Such super extension is responsible, through the coset coherent states, for the symmetry breaking. The extended model is superintegrable and the odd part of the superconnection takes a dynamical character. The physical and geometrical implications of the additional degrees of freedom interpreted as a hidden sector of the SM are briefly discussed.