There are different models which are based on the gauge symmetry SU(3)C⊗SU(3)L⊗U(1)X (331), and some of them include exotic particles, and others are constructed without any exotic charges assigned ...to the fermionic spectrum. Each model build-up on 331 symmetry has its own interesting properties according to the representations of the gauge group used for the fermionic spectrum, that is, the main reason to explore and identify the possible sources of flavor changing neutral currents and lepton flavor violation at tree level.
We introduce a family of many-body quantum states that describe interacting spin one-half hard-core particles with bosonic or fermionic statistics on arbitrary one- and two-dimensional lattices. The ...wave functions at lattice filling fraction ν=2/(2m+1) are derived from deformations of the Wess–Zumino–Witten model su(3)1 and are related to the (m+1,m+1,m) Halperin fractional quantum Hall states. We derive long-range SU(2) invariant parent Hamiltonians for these states which in two dimensions are chiral t–J–V models with additional three-body interaction terms. In one dimension we obtain a generalisation to open chains of a periodic inverse-square t–J–V model proposed in 25. We observe that the gapless low-energy spectrum of this model and its open-boundary generalisation can be described by rapidity sets with the same generalised Pauli exclusion principle. A two-component compactified free boson conformal field theory is identified as the low-energy effective theory for the periodic inverse-square t–J–V model.
We will present within the context of the supersymmetric models with
$SU(3)_{C}\times SU(2)_{L}\times U(1)_{Y^\prime}\times U(1)_{B-L}$ gauge
symmetry an explanation for the new data on the $W$-boson ...mass recently
presented by the CDF collaboration. We will also study the neutral boson sector
of this model.
Phys.Lett. B545 (2002) 147-152 We show that the desirable weak mixing angle sin^2 theta_W = 0.2312 at m_Z
scale can be generated naturally in the SU(3)_C times SU(3) model on M^4 times
S^1 / (Z_2 ...times Z_2') where the gauge symmetry SU(3) is broken down to SU(2)_L
times U(1)_Y by orbifold projection. For a supersymmetric model with a TeV
scale extra dimension, the SU(3) unification scale is about hundreds of TeVs at
which the gauge couplings for SU(3)_C and SU(3) can also be equal in the mean
time. For the non-supersymmetric model, SU(2)_L times U(1)_Y are unified at
order of 10 TeV. These models may serve as good candidates for physics beyond
the SM or MSSM.
There are different models based on the gauge symmetry $SU(3)_C \otimes
SU(3)_L \otimes U(1)_X$ (331) some of them includes exotic particles and others
are constructed without any exotic charges ...assigned to the fermionic spectrum.
Each model build up on 331 symmetry has its own interesting properties
according to the representations of the gauge group used for the fermionic
spectrum; that is the main reason to explore and identify the possible sources
of flavor changing neutral currents and lepton flavor violation at tree level.
Following the Schwinger boson representation for the su(M+1)- and the
su(N,1)-algebra presented by two of the present authors (J. da P. and M. Y.)
and Kuriyama, a possible counterpart of the Lipkin ...model in the su(M+1)-algebra
formulated in the fermion space is presented. The free vacuum, which plays a
fundamental role in the conventional treatment of the Lipkin model, is
generalized in a quite natural way, and further, the excited state generating
operators such as the particle-hole pairs are also given in a natural scheme.
As concrete examples, the cases of the su(2)-, su(3)- and the su(4)-algebra are
discussed. Especially, the case of the su(4)-algebra is investigated in detail
in relation to the nucleon pairing correlations and the high temperature
superconductivity.
We show that the desirable weak mixing angle sin^2 theta_W = 0.2312 at m_Z scale can be generated naturally in the SU(3)_C times SU(3) model on M^4 times S^1 / (Z_2 times Z_2') where the gauge ...symmetry SU(3) is broken down to SU(2)_L times U(1)_Y by orbifold projection. For a supersymmetric model with a TeV scale extra dimension, the SU(3) unification scale is about hundreds of TeVs at which the gauge couplings for SU(3)_C and SU(3) can also be equal in the mean time. For the non-supersymmetric model, SU(2)_L times U(1)_Y are unified at order of 10 TeV. These models may serve as good candidates for physics beyond the SM or MSSM.
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