Integrability of limit shapes of the inhomogeneous six vertex model

DOI10.1007/s00220-022-04334-9OpenAlexW3017016836MaRDI QIDQ2124216

Ananth Sridhar, Nicolai Reshetikhin, D. Keating

Publication date: 19 April 2022

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

Full work available at URL: https://arxiv.org/abs/2004.08971

zbMATH Keywords

six vertex model

Mathematics Subject Classification ID

Inverse scattering problems in quantum theory (81U40) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Scattering theory of linear operators (47A40) Yang-Baxter equations (16T25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• The arctic curve of the domain-wall six-vertex model
• The asymmetric six-vertex model
• Limit shapes for the asymmetric five vertex model
• Analytic theory of the eight-vertex model
• Integrability of limit shapes of the six vertex model
• Numerical study of the 6-vertex model with domain wall boundary conditions.
• Commutativity in Lagrangian and Hamiltonian mechanics
• A variational principle for domino tilings
• Thermodynamic limit of the six-vertex model with domain wall boundary conditions

This page was built for publication: Integrability of limit shapes of the inhomogeneous six vertex model