Uma possível extensão supersimétrica do calibre abeliano maximal

Abstract

Because the search for deeper understanding of the fundamental particles that make up nature, we make use of group theory in order to formulate a theory that describes the quantum interactions in a formulation of the field. Through the irreducible representations, we are able to build physical fields that carry the fundamental characteristics of nature, such as the charge of a particle. Arise then, in the years 50, the famous Yang-Mills theories that seek to describe the universe of weak, strong and electromagnetic interactions through the vector of interaction bosons. The quantization of these theories, revealed the existence of the BRST symmetry, is a fundamental symmetry of the action, which relates bosons to fermions, a first simple sample of supersymmetry. For a natural thought, we try to unify bosons to fermions and generalize the Yang-Mills theories for a supersymmetric formulation, using the concept of superfields set in a space with more dimensions beyond the usual four. In this work, we have as a main purpose to introduce a gauge condition, coming from the quantization process, also in supersymetric scenario, ie, in a supercampo formulation. This condition is called maximal Abelian gauge.