Chiral gauge theory and gravity from unconventional supersymmetry

Abstract

Abstract From a gauge SU (2, 2|2) model with broken supersymmetry, we construct an action for SU(2)×U (1) Yang-Mills theory coupled to gravity and matter in four dimensions. The connection components for AdS boosts and special conformal translations are auxiliary fields and their fixing reduces the theory to two distinct sectors: a vector-like gauge theory with general relativity and a chiral gauge theory where gravity drops out. We discuss some of the main classical features of the model such as the predicted tree level gauge couplings, cosmological constant value, mass-like terms and the Einstein equations.