Spin Calogero models associated with Riemannian symmetric spaces of negative curvature

DOI10.1016/j.nuclphysb.2006.06.029zbMath1192.81188arXivmath-ph/0604073OpenAlexW2081021127MaRDI QIDQ881675

László Fehér, Béla Gábor Pusztai

Publication date: 16 May 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0604073

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Differential geometry of symmetric spaces (53C35)

Related Items (10)

\(N\)-point spherical functions and asymptotic boundary KZB equations ⋮ A class of Calogero type reductions of free motion on a simple Lie group ⋮ Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins ⋮ Action-angle duality between the \(C_n\)-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models ⋮ SYMMETRY REDUCTION OF BROWNIAN MOTION AND QUANTUM CALOGERO–MOSER MODELS ⋮ Lax representation of the hyperbolic van Diejen dynamics with two coupling parameters ⋮ On the classical \(r\)-matrix structure of the rational \(BC_n\) Ruijsenaars-Schneider-van Diejen system ⋮ Hamiltonian reductions of free particles under polar actions of compact Lie groups ⋮ Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone ⋮ Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction

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