Multi-Parameter Deformed and Nonstandard Y (gl_M) Yangian Symmetry in Integrable Variants of Haldane-Shastry Spin Chain
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概要
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By using 'anyon like' representations of permutation algebra, which pick Lip nontrivial phasefactors while interchanging the spins of two lattice sites, we construct some integrable variantsof Haldane-Shastry (HS) spin chain. Lax equations for these spin chains allow us to find otrtthe related conserved qttantities. However, it turns otrt that such spin chains also possess afew additional conserved qtmantities which are apparently not deriv?tble from the Lax equations.Identifying these additional conserved qtrantities, and the tustral ones related to Lax equations,with different modes of a monodrorny naatrix, it is shown that the above mentioned HS likespin chains exhibit natrlti-parameter defortned and 'nonstandard' variants of Y(gly) Yangiansymmetry.
- 社団法人日本物理学会の論文
- 1998-07-15
著者
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BASU-MALLICK Bireswar
Department of Physics,Faculty of Science,University of Tokyo
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Basu-mallick Bireswar
Department Of Physics Faculty Of Science University Of Tokyo
関連論文
- Exact Spectrum and Partition Function of SU (mn) Supersymmetric Polychronakos Model
- Multi-Parameter Deformed and Nonstandard Y (gl_M) Yangian Symmetry in Integrable Variants of Haldane-Shastry Spin Chain