PrerequisiteHamiltonian mechanics, quantum mechanics. Complex analysis. Lie groups, Lie algebras and root systems, supersymmetry, basics of commutative rings (brief recap will be offered). Symmetric polynomials and related combinatorics. Familiarity with algebraic Bethe Ansatz and construction of transfer matrices.IntroductionA typical feature of quantum integrable models is the possibility to ...
AbstractThe Haldane--Shastry spin chain has long-range interactions and remarkable properties including Yangian symmetry at finite length and explicit highest-weight wave functions featuring Jack polynomials. This stems from the trigonometric spin-Calogero--Sutherland model, which is intimately related to affine Hecke algebras, already enjoys these properties from affine Schur–Weyl duality and...
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