TL;DR
This paper proposes a unification of gravity and weak interactions by leveraging the selfdual SU(2) structure of gravity, connecting it with the SU(2)_L and SU(2)_R groups of the Standard Model, and discusses extensions involving fermions and strong interactions.
Contribution
It introduces a novel framework unifying gravitational and weak interactions using the selfdual SU(2) subalgebra, addressing fermion chiralities and avoiding Coleman-Mandula conflicts.
Findings
Unified model links gravity with weak interactions via SU(2) structures
Models incorporating fermions of both chiralities are discussed
The approach avoids conflicts with the Coleman-Mandula theorem
Abstract
The coupling of chiral fermions to gravity makes use only of the selfdual SU(2) subalgebra of the (complexified) SO(3,1) algebra. It is possible to identify the antiselfdual subalgebra with the SU(2)_L isospin group that appears in the Standard Model, or with its right-handed counterpart SU(2)_R that appears in some extensions. Based on this observation, we describe a form of unification of the gravitational and weak interactions. We also discuss models with fermions of both chiralities, the inclusion strong interactions, and the way in which these unified models of gravitational and gauge interactions avoid conflict with the Coleman-Mandula theorem.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Noncommutative and Quantum Gravity Theories