Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions

DOI10.1016/j.nuclphysb.2021.115566zbMath1506.82010arXiv2107.13060OpenAlexW3186220879MaRDI QIDQ2238010

Thiago R. Araujo

Publication date: 28 October 2021

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

Full work available at URL: https://arxiv.org/abs/2107.13060

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain
• Universal Bethe ansatz solution for the Temperley-Lieb spin chain
• Classical tau-function for quantum spin chains
• Matrix models, complex geometry, and integrable systems: I
• Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
• HCIZ integral and 2D Toda lattice hierarchy
• Free fermions and tau-functions
• XXZ scalar products and KP
• Elliptic solutions to integrable nonlinear equations and many-body systems
• KP and Toda tau functions in Bethe ansatz
• Integrability and matrix models
• Domain wall partition functions and KP
• INTRODUCTION TO QUANTUM INTEGRABILITY
• On some integrals over theU(N) unitary group and their largeNlimit
• Thermodynamic limit of the six-vertex model with domain wall boundary conditions
• Correlation functions of the openXXZchain: I
• Temperley-Lieb Algebra: From Knot Theory to Logic and Computation via Quantum Mechanics
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• The scalar products and the norm of Bethe eigenstates for the boundary \(XXX\) Heisenberg spin-1/2 finite chain

This page was built for publication: Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions