From the quantum Jacobi–Trudi and Giambelli formula to a nonlinear integral equation for thermodynamics of the higher spin Heisenberg model

DOI10.1088/0305-4470/37/5/019zbMath1053.82015arXivcond-mat/0308333OpenAlexW2035164047MaRDI QIDQ4467013

Publication date: 8 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0308333

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of Lie algebras and superalgebras to integrable systems (17B80) Systems of nonlinear integral equations (45G15)

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Jacobi-Trudi identity in super Chern-Simons matrix model ⋮ Nonlinear integral equations and high temperature expansion for the \(U_q(\widehat{sl}(r+1|s+1))\) Perk--Schultz model ⋮ Solutions of the T-system and Baxter equations for supersymmetric spin chains ⋮ Quantum Spectral Curve of γ-Twisted 𝒩 = 4 SYM Theory and Fishnet CFT ⋮ Analytical Bethe ansatz for closed and opengl(Script N)-spin chains in any representation ⋮ The thermodynamical limit of generalgl(N) spin chains: the vacuum state and densities ⋮ The thermodynamical limit of generalgl(N) spin chains: II. Excited states and energies

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