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Many-spinon states and the secret significance of Young tableaux

arXiv:0705.1467 · doi:10.1103/PhysRevLett.98.237202

Abstract

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.

4 pages, 3 figures