Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-22
J.Phys.A41:075405,2008
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, typos corrected and improved wording
Scientific paper
10.1088/1751-8113/41/7/075405
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.
Nesti Fabrizio
Percacci Roberto
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