Chirality in unified theories of gravity
F. Nesti, R. Percacci
TL;DR
This paper presents a method to derive a chiral family of an SO(10) GUT from a unifying SO(3,11) group, linking gravity and grand unification through a novel action.
Contribution
It introduces a new approach to unify gravity and GUTs by using a Majorana-Weyl representation of SO(3,11) to produce a chiral fermion family.
Findings
Successfully derives a chiral SO(10) family from SO(3,11)
Proposes an action that reduces to known fermionic GUT action
Links gravitational and GUT symmetries in a unified framework
Abstract
We show how to obtain a single chiral family of an SO(10) GUT, starting from a Majorana-Weyl representation of a unifying ("GraviGUT") group SO(3,11), which contains the gravitational Lorentz group SO(3,1). An action is proposed, which reduces to the correct fermionic GUT action in the broken phase.
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