Infinite Symmetry of the Spin Systems with Inverse Square Interactions
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概要
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One-dimensional quantum particle system with SU(v) spins interacting through inverse square interactions is studied. We reveal algebraic structures of the system : hidden symmetry is the U(v)≅SU(v)⊗U(1) current algebra. This is consistent with the fact that the ground state wave function is a solution of the Knizhnik-Zamolodchikov equation. Furthermore we show that the system has a higher symmetry, which is the w_<1+∞> algebra. With this W algebra we can clarify simultaneously the structures of the Calogero type (1/x^2-interactions) and Sutherland type (1/sin^2 x-interactions). The Yangian symmetry is briefly discussed.
- 社団法人日本物理学会の論文
- 1993-12-15
著者
-
Hikami Kazuhiro
Department Of Physics Faculty Of Science University Of Tokyo
-
Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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