Nguyen Anh Ky

Scalar sextet in the 331 model with right-handed neutrinos

A Higgs sextet is introduced in order to generate Dirac and Majorana neutrino masses in the 331 model with right-handed neutrinos. As will be seen the present sextet introduction leads to a rich neutrino mass structure. The smallness of neutrino masses can be achieved via, for example, a seesaw limit. The fact that the masses of the charged leptons are not effected by their new Yukawa couplings to the sextet is convenient for generating small neutrino masses.

Finite‐dimensional representations of the quantum superalgebra Uq[gl(2/2)]. I. Typical representations at generic q

In the present paper all typical finite‐dimensional representations of the quantum Lie superalgebra Uq[gl(2/2)] are constructed at generic deformation parameter q. As in the nondeformed case, the finite‐dimensional Uq[gl(2/2)]‐module Wq obtained is irreducible and can be decomposed into finite‐dimensional irreducible Uq[gl(2)⊕gl(2)]‐submodules Vqk.

Transformations of some induced osp(3/2) modules in an so(3)○+sp(2) basis

The modules of the orthosymplectic Lie superalgebra osp(3/2), induced from finite‐dimensional irreducible submodules of the stability subalgebra so(3)⊕gl(1) are investigated. The corresponding infinite‐dimensional irreducible or indecomposable modules, the Kac modules, and the related typical and atypical modules are studied in detail. Every such module is decomposed into a direct sum of either indecomposable or irreducible modules of the even subalgebra so(3)⊕sp(2). For each of these (infinite‐dimensional or finite‐dimensional, irreducible or indecomposable) modules relations are written down, giving the transformations of the basis under the action of the algebra generators.