Fermionization of the spin-S Uimin-Lai-Sutherland model: generalisation ofthe supersymmetric t-J model to spin-S

Authors
Ambjorn, J Karakhanyan, D Mirumyan, M Sedrakyan, A
Citation
J. Ambjorn et al., Fermionization of the spin-S Uimin-Lai-Sutherland model: generalisation ofthe supersymmetric t-J model to spin-S, NUCL PHYS B, 599(3), 2001, pp. 547-560
Citations number
43
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
05503213 → ACNP
Volume
599
Issue
3
Year of publication
2001
Pages
547 - 560
Database
ISI
SICI code
0550-3213(20010409)599:3<547:FOTSUM>2.0.ZU;2-E
Abstract
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 t he level of Hamiltonians. The spin-g ULS model is fermionized and it is sho wn that the model has a global sl(m/n) supersymmetry with m + n = 2S + 1. T his can be regarded as spin-S generalisation of the supersymmetric t-J mode l. Explicit expressions for the Hamiltonian is given for S less than or equ al to 7/2. (C) 2001 Elsevier Science B.V. All rights reserved.