Relation between interacting vector boson model and some versions of the interacting boson approximation

The Dyson mapping of the Interacting Two Vector Boson Model (IVBM) with group of dynamical symmetry Sp(12,R) on a version of the standard Interacting Boson Model (IBM) with dynamical symmetry U(21) is obtained. This version of IBM contains the S(T=1), D(T=1) and P(T=0) bosons, where T is isospin of bosons. From group theoretical point of view this mapping corresponds to the realization of the Sp(12,R) generators in terms of generators of HW(21) x U(6) group. The problem of elimination of spurious states and Hermitization of this Boson representation is discussed. The image of the IVBM Hamiltonian in the space of the above mentioned S, D, P - bosons is found. 1 tab.(author)