Chiral gauge theory and gravity from unconventional supersymmetry
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. The connection components for AdS boosts and special conformal translations are auxiliary fields and their fixing reduces the theory to two distintive 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.
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