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 $SU(2)\times U(1)$ 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.

31 pages

References in corpus (4)

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Cited by in corpus (15)

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• Graphene, Dirac equation and analogue gravity
• $\mathcal{N}=2$ Extended MacDowell-Mansouri Supergravity
• Gauging the superconformal group with a graded dual operator
• On the spin content of the classical massless Rarita--Schwinger system
• Pseudoclassical system with gauge and time-reparametrization invariance
• A black hole solution in conformal supergravity
• Massless Rarita-Schwinger equations: Half and three halves spin solution
• Relational Supersymmetry via the Dressing Field Method and Matter-Interaction Supergeometric Framework
• Unconventional Supersymmetry via the Dressing Field Method
• Self duality in unconventional conformal supersymmetry
• Embedding of rank two supercharges in the superconformal algebra
• Spinor solutions of a Chern-Simons model for the superconformal algebra
• Gauge and time-reparametrization invariant spin-half fields
• A Superalgebra Within: representations of lightest standard model particles form a ${\mathbb{Z}}_2^5$-graded algebra