A hyperbolic BC(n) Sutherland model involving three independent coupling constants that characterize the interactions of two types of particles moving on the half-line is derived by Hamiltonian reduction of the free geodesic motion on the group SU(n, n). The symmetry group underlying the reduction is provided by the direct product of the fixed point subgroups of two commuting involutions of SU(n, n). The derivation implies the integrability of the model and yields a simple algorithm for constructing its solutions.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics