Exact spectrum of SU(n) spin chain with inverse square exchange

Oct, 1993
15 pages
Published in:
  • Nucl.Phys.B 419 (1994) 553-566
e-Print:
Report number:
  • CERN-TH-7040-93

Citations per year

1995200320112019202502468
Abstract: (desy)
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.