TY - JOUR
T1 - Noncummutative GUTs, standard model and C, P, T
AU - Aschieri, P.
AU - Jurčo, B.
AU - Schupp, P.
AU - Wess, J.
N1 - Funding Information:
This research has been in part supported by a Marie Curie Fellowship of the European Community programme IHP under contract number MCFI-2000-01982.
PY - 2003/2/24
Y1 - 2003/2/24
N2 - 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 θ, 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 θ. 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.
AB - 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 θ, 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 θ. 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.
UR - http://www.scopus.com/inward/record.url?scp=0037463399&partnerID=8YFLogxK
U2 - 10.1016/s0550-3213(02)00937-9
DO - 10.1016/s0550-3213(02)00937-9
M3 - Review article
SN - 0550-3213
VL - 651
SP - 45
EP - 70
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 3
ER -