Dyon-Oscillator Duality. Hidden Symmetry of the Yang-Coulomb Monopole

Levon Mardoyan (mardoyan@icas.ysu.am)
Yerevan State University
International Center for Advanced Studies
Alex Manougian str., 1 375025,
Yerevan Armenia

Abstract

In the framework of an analytical approach and with help of the generalized version of the Hurwitz transformation the five-dimensional bound system composed of the Yang monopole coupled to a particle of the isospin by SU(2) and Coulomb interaction is constructed from the eight-dimensional quantum oscillator. The generalized runge-Lenz vector and the SO(6) group of the hidden symmetry are established. It is also shown that group of hidden symmetry makes it possible to calculate the spectrum of system by a pure algebraic method.