Fermionization of the spin-S Uimin–Lai–Sutherland model: generalisation of the supersymmetric t–J model to spin-S Original Research Article

The spin 1 Uimin–Lai–Sutherland (ULS) isotropic chain model is expressed in terms of fermions, and the equivalence of the fermionic representation of the ULS model and the supersymmetric t–J model is established directly at the level of Hamiltonians.The spin-S ULS model is fermionized and it is shown that the model has a global sl(m|n) supersymmetry with m+n=2S+1. This can be regarded as spin-S generalisation of the supersymmetric t–J model. Explicit expressions for the Hamiltonian is given for S⩽7/2.