A contribution from new gauge bosons in the SU(3) C ⊗SU(3) L ⊗U(1) N (3 -3 -1) models to the anom... more A contribution from new gauge bosons in the SU(3) C ⊗SU(3) L ⊗U(1) N (3 -3 -1) models to the anomalous magnetic moments of the muon is calculated and numerically estimated. In the minimal 3 -3 -1 model, a lower bound on the bilepton mass at a value of 167 GeV is derived. For an expected precision(∼ 4 × 10 −10 ) of the BNL measurements the possible lower bounds on masses of the bileptons in the minimal version and in the version with right-handed neutrinos are around 940 GeV and 250 GeV, respectively.
Journal of Physics A: Mathematical and General, 2001
The two-parametric quantum superalgebra U p,q [gl(2/2)] and its representations are considered. A... more The two-parametric quantum superalgebra U p,q [gl(2/2)] and its representations are considered. All finite-dimensional irreducible representations of this quantum superalgebra can be constructed and classified into typical and non-typical ones according to a proposition proved in the present paper. This proposition is a nontrivial deformation from the one for the classical superalgebra gl(2/2), unlike the case of one-parametric deformations.
Finite‐dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. I. Typ... more Finite‐dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. I. Typical representations. [Journal of Mathematical Physics 30, 553 (1989)]. Alfred H. Kamupingene, Nguyen Anh Ky, Tchavdar D. Palev. Abstract. ...
Explicit expressions for the generators of the quantum superalgebra U q [gl(n/m)} acting on a cla... more Explicit expressions for the generators of the quantum superalgebra U q [gl(n/m)} acting on a class of irreducible representations are given. The class under consideration consists of all essentially typical representations: for these a GePfand-Zetlin basis is known. The verification of the quantum superalgebra relations to be satisfied is shown to reduce to a set of ^-number identities.
The two-parametric quantum superalgebra U p,q [gl(2/2)] and its induced representations are consi... more The two-parametric quantum superalgebra U p,q [gl(2/2)] and its induced representations are considered. A method for constructing all finite-dimensional irreducible representations of this quantum superalgebra is also described in detail. It turns out that finite-dimensional representations of the two-parametric U p,q [gl(2/2)], even at generic deformation parameters, are not simply trivial deformations from those of the classical superalgebra gl(2/2), unlike the one-parametric cases.
Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis. [Journal of Mathematica... more Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis. [Journal of Mathematical Physics 33, 1841 (1992)]. Nguyen Anh Ky, Tchavdar D. Palev. Abstract. The modules of the orthosymplectic Lie superalgebra ...
Explicit expressions for the generators of the quantum superalgebra U q [gl(n/m)} acting on a cla... more Explicit expressions for the generators of the quantum superalgebra U q [gl(n/m)} acting on a class of irreducible representations are given. The class under consideration consists of all essentially typical representations: for these a GePfand-Zetlin basis is known. The verification of the quantum superalgebra relations to be satisfied is shown to reduce to a set of ^-number identities.
The mass spectrum and the eigenstates of the Higgs sector of the minimal 3 3 1 model are revisite... more The mass spectrum and the eigenstates of the Higgs sector of the minimal 3 3 1 model are revisited in detail. There are discrepancies between our results and previous results by another author.
The Higgs sector of the minimal 3 -3 -1 model with three triplets and one sextet is investigated ... more The Higgs sector of the minimal 3 -3 -1 model with three triplets and one sextet is investigated in detail under the most general lepton-number conserving potential. The mass spectra and multiplet decompostion structure are explicitly given in a systematic order and a transparent way allowing they to be easily checked and used in further investigations. A previously arising problem of inconsistent signs of f 2 is also automatically solved.
A contribution from new gauge bosons in the SU(3) C ⊗SU(3) L ⊗U(1) N (3 -3 -1) models to the anom... more A contribution from new gauge bosons in the SU(3) C ⊗SU(3) L ⊗U(1) N (3 -3 -1) models to the anomalous magnetic moments of the muon is calculated and numerically estimated. In the minimal 3 -3 -1 model, a lower bound on the bilepton mass at a value of 167 GeV is derived. For an expected precision(∼ 4 × 10 −10 ) of the BNL measurements the possible lower bounds on masses of the bileptons in the minimal version and in the version with right-handed neutrinos are around 940 GeV and 250 GeV, respectively.
Journal of Physics A: Mathematical and General, 2001
The two-parametric quantum superalgebra U p,q [gl(2/2)] and its representations are considered. A... more The two-parametric quantum superalgebra U p,q [gl(2/2)] and its representations are considered. All finite-dimensional irreducible representations of this quantum superalgebra can be constructed and classified into typical and non-typical ones according to a proposition proved in the present paper. This proposition is a nontrivial deformation from the one for the classical superalgebra gl(2/2), unlike the case of one-parametric deformations.
Finite‐dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. I. Typ... more Finite‐dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. I. Typical representations. [Journal of Mathematical Physics 30, 553 (1989)]. Alfred H. Kamupingene, Nguyen Anh Ky, Tchavdar D. Palev. Abstract. ...
Explicit expressions for the generators of the quantum superalgebra U q [gl(n/m)} acting on a cla... more Explicit expressions for the generators of the quantum superalgebra U q [gl(n/m)} acting on a class of irreducible representations are given. The class under consideration consists of all essentially typical representations: for these a GePfand-Zetlin basis is known. The verification of the quantum superalgebra relations to be satisfied is shown to reduce to a set of ^-number identities.
The two-parametric quantum superalgebra U p,q [gl(2/2)] and its induced representations are consi... more The two-parametric quantum superalgebra U p,q [gl(2/2)] and its induced representations are considered. A method for constructing all finite-dimensional irreducible representations of this quantum superalgebra is also described in detail. It turns out that finite-dimensional representations of the two-parametric U p,q [gl(2/2)], even at generic deformation parameters, are not simply trivial deformations from those of the classical superalgebra gl(2/2), unlike the one-parametric cases.
Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis. [Journal of Mathematica... more Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis. [Journal of Mathematical Physics 33, 1841 (1992)]. Nguyen Anh Ky, Tchavdar D. Palev. Abstract. The modules of the orthosymplectic Lie superalgebra ...
Explicit expressions for the generators of the quantum superalgebra U q [gl(n/m)} acting on a cla... more Explicit expressions for the generators of the quantum superalgebra U q [gl(n/m)} acting on a class of irreducible representations are given. The class under consideration consists of all essentially typical representations: for these a GePfand-Zetlin basis is known. The verification of the quantum superalgebra relations to be satisfied is shown to reduce to a set of ^-number identities.
The mass spectrum and the eigenstates of the Higgs sector of the minimal 3 3 1 model are revisite... more The mass spectrum and the eigenstates of the Higgs sector of the minimal 3 3 1 model are revisited in detail. There are discrepancies between our results and previous results by another author.
The Higgs sector of the minimal 3 -3 -1 model with three triplets and one sextet is investigated ... more The Higgs sector of the minimal 3 -3 -1 model with three triplets and one sextet is investigated in detail under the most general lepton-number conserving potential. The mass spectra and multiplet decompostion structure are explicitly given in a systematic order and a transparent way allowing they to be easily checked and used in further investigations. A previously arising problem of inconsistent signs of f 2 is also automatically solved.
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