Chirality in unified theories of gravity

We show how to obtain a single chiral family of an SOð10Þ grand unified theory (GUT), starting from a Majorana-Weyl representation of a unifying (GraviGUT) group SOð3; 11Þ, which contains the gravita- tional Lorentz group SOð3; 1Þ. An action is proposed, which reduces to the correct fermionic grand unified theory action in the broken phase.

We show how to obtain a single chiral family of an SO(10) grand unified theory ( 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 grand unified theory action in the broken phase.