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

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

1993-10-15

arxiv.org/abs/hep-th/9310095v1

Nucl.Phys. B419 (1994) 553-566

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, CERN-TH-7040/93

Scientific paper

10.1016/0550-3213(94)90344-1

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.

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