Exact Spectrum of SU(n) Spin Chain with Inverse-Square Exchange

Abstract

The spectrum and partition function of a model consisting of SU(n) spins positioned at the equilibrium positions of a classical Calogero model and interacting through inverse-square exchange are derived. The energy levels are equidistant and have a high degree of degeneracy, with several SU(n) multiplets belonging to the same energy eigenspace. The partition function takes the form of a q-deformed polynomial. This leads to a description of the system by means of an effective parafermionic hamiltonian, and to a classification of the states in terms of "modules" consisting of base-n strings of integers.

12 pages, CERN-TH-7040/93

References in corpus (6)

• Lattice Integrable Systems of Haldane-Shastry Type
• On Models with Inverse-Square Exchange
• Integrable Systems for Particles with Internal Degrees of Freedom
• Solution of Some Integrable One-Dimensional Quantum Systems
• Spectrum of a spin chain with inverse square exchange
• Invariants of the Haldane-Shastry $SU(N)$ Chain

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