Special polynomials related to the supersymmetric eight-vertex model: a summary

DOI10.1007/s00220-015-2439-0zbMath1330.82014arXiv1503.02833OpenAlexW2111948071MaRDI QIDQ748458

Hjalmar Rosengren

Publication date: 29 October 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02833

zbMATH Keywords

Schrödinger equationsymmetric polynomialssupersymmetric eight-vertex model

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) PDEs in connection with quantum mechanics (35Q40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (15)

Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom ⋮ ``Quantization of an isomonodromic Hamiltonian garnier system with two degrees of freedom ⋮ A combinatorial description of certain polynomials related to the XYZ spin chain. II: The polynomials \(p_n\) ⋮ Nearest-neighbour correlation functions for the supersymmetric XYZ spin chain and Painlevé VI ⋮ On the transfer matrix of the supersymmetric eight-vertex model. II. Open boundary conditions ⋮ Quantum aspects of the integrability of the third Painlevé equation and a non-stationary time Schrödinger equation with the Morse potential ⋮ “Quantizations” of isomonodromic Hamilton system $H^{\frac{7}{2}+1}$ ⋮ Solutions to analogues of non-stationary Schrödinger equations defined by isomonodromic Hamilton system $H^{2+1+1+1}$ ⋮ A combinatorial description of certain polynomials related to the XYZ spin chain ⋮ On the elliptic 𝔤𝔩2 solid-on-solid model: Functional relations and determinants ⋮ Elliptic pfaffians and solvable lattice models ⋮ Series solutions of the non-stationary Heun equation ⋮ On the transfer matrix of the supersymmetric eight-vertex model. I. Periodic boundary conditions ⋮ Special polynomials related to the supersymmetric eight-vertex model: a summary ⋮ Sum rules for the supersymmetric eight-vertex model

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