Physics of the Ideal Semion Gas: Spinons and Quantum Symmetries of the Integrable Haldane-Shastry Spin Chain
F. D. M. Haldane
Abstract
Various aspects of the Haldane-Shastry spin chain with 1/r2 exchange, and its various generalizations, are reviewed, with emphasis on its Yangian quantum group structure, and the interpretation of the model as the generalization of an ideal gas (of ``spinons'') to the case of fractional statistics. Some recent results on its dynamical correlation function are discussed, and conjectured extensions of these remarkably simple results to the SU(n) model, and to the related Calogero-Sutherland model with integer coupling constant, are presented. (Talk presented at the 16th. Taniguchi Symposium, Kashikojima, Japan, October 26-29, 1993)
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