Non-Commutative GUTs, Standard Model and C,P,T
Abstract
Noncommutative Yang-Mills theories are sensitive to the choice of the representation that enters in the gauge kinetic term. We constrain this ambiguity by considering grand unified theories. We find that at first order in the noncommutativity parameter \theta, SU(5) is not truly a unified theory, while SO(10) has a unique noncommutative generalization. In view of these results we discuss the noncommutative SM theory that is compatible with SO(10) GUT and find that there are no modifications to the SM gauge kinetic term at lowest order in \theta. We study in detail the reality, hermiticity and C,P,T properties of the Seiberg-Witten map and of the resulting effective actions expanded in ordinary fields. We find that in models of GUTs (or compatible with GUTs) right-handed fermions and left-handed ones appear with opposite Seiberg-Witten map.
Cite
@article{arxiv.hep-th/0205214,
title = {Non-Commutative GUTs, Standard Model and C,P,T},
author = {Paolo Aschieri and Branislav Jurco and Peter Schupp and Julius Wess},
journal= {arXiv preprint arXiv:hep-th/0205214},
year = {2011}
}
Comments
28 pages. Added references and comments in the introduction