ODE/IM correspondence for modified \(B_2^{(1)}\) affine Toda field equation

DOI10.1016/j.nuclphysb.2017.01.009zbMath1356.82015arXiv1605.04668OpenAlexW2405618294MaRDI QIDQ512723

Katsushi Ito, Hongfei Shu

Publication date: 27 February 2017

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

Full work available at URL: https://arxiv.org/abs/1605.04668

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) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Statistical thermodynamics (82B30)

Related Items (9)

Geometric aspects of the ODE/IM correspondence ⋮ Quantum integrability from non-simply laced quiver gauge theory ⋮ Deforming the ODE/IM correspondence with \(\mathrm{T}\overline{\mathrm{T}}\) ⋮ ODE/IM correspondence and the Argyres-Douglas theory ⋮ Quantum transfer-matrices for the sausage model ⋮ Massive ODE/IM correspondence and nonlinear integral equations for ${A_r^{(1)}}$ -type modified affine Toda field equations ⋮ TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling ⋮ TBA equations for the Schrödinger equation with a regular singularity ⋮ ODE/IM correspondence for affine Lie algebras: a numerical approach

Cites Work

• Polynomial relations for \(q\)-characters via the ODE/IM correspondence
• ODE/IM correspondence and modified affine Toda field equations
• Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
• Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
• Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras
• Differential equations for generalSU(n) Bethe ansatz systems
• The Bethe Ansatz and the Tzitz\'eica-Bullough-Dodd equation
• Y-system for scattering amplitudes
• Baxter'sQ-operator for theW-algebraW_N
• Functional relations and analytic Bethe ansatz for twisted quantum affine algebras
• Bethe ansatz equations for the classical $A^{(1)}_{n}$ affine Toda field theories
• The ODE/IM correspondence
• Spectral determinants for Schrödinger equation and \({\mathbb{Q}}\)-operators of conformal field theory
• Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory

This page was built for publication: ODE/IM correspondence for modified \(B_2^{(1)}\) affine Toda field equation