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arxiv: 0705.1467 · v1 · pith:GOOMRRBRnew · submitted 2007-05-10 · ❄️ cond-mat.str-el · math-ph· math.MP

Many-spinon states and the secret significance of Young tableaux

classification ❄️ cond-mat.str-el math-phmath.MP
keywords spinstableauxtotalyoungchainclassifiedclassifyingcorrespondence
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We establish a one-to-one correspondence between the Young tableaux classifying the total spin representations of N spins and the exact eigenstates of the the Haldane-Shastry model for a chain with N sites classified by the total spins and the fractionally spaced single-particle momenta of the spinons.

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