Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models

DOI10.1016/j.nuclphysb.2018.12.011zbMath1405.81088arXiv1809.04460OpenAlexW2890357817WikidataQ128785946 ScholiaQ128785946MaRDI QIDQ1710206

Peng Zhang

Publication date: 15 January 2019

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

Full work available at URL: https://arxiv.org/abs/1809.04460

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Quantum field theory on lattices (81T25) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (4)

Quantum integrability of massive anisotropic SU(N) fermionic models ⋮ The tetrahedral Zamolodchikov algebra for the fermionic Bazhanov-Stroganov \(R\)-operator ⋮ On extension of the Yang-Baxter equation and the fermionic \(R\)-operator ⋮ The Lax pair for the fermionic Bazhanov-Stroganov \(R\)-operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the quantization of continuous non-ultralocal integrable systems
• On \(S\)-matrix factorization of the Landau-Lifshitz model
• Quantum integrability of the Alday-Arutyunov-Frolov model
• \(\mathrm{O}(N)\) invariant quantum field theoretical models: exact solution
• Self-adjoint extensions in quantum mechanics. General theory and applications to Schrödinger and Dirac equations with singular potentials.
• Integrable lambda models and Chern-Simons theories
• Classical and quantum algebras of non-local charges in \(\sigma\) models
• Integrable double deformation of the principal chiral model
• Quantization of the continuous Heisenberg ferromagnet
• On the scaling limit of the \(1\)D Hubbard model at half-filling
• Lambda models from Chern-Simons theories
• Integrating out heavy particles with functional methods: a simplified framework
• Alleviating the non-ultralocality of coset {\(\sigma\)}-models through a generalized Faddeev-Reshetikhin procedure
• Alleviating the non-ultralocality of the \(\mathrm{AdS}_5\times S^5\) superstring
• On the solutions of the Yang-Baxter equations with general inhomogeneous eight-vertex \(R\)-matrix: relations with Zamolodchikov's tetrahedral algebra
• An integrability primer for the gauge-gravity correspondence: an introduction
• Quantum anisotropic sigma and lambda models as spin chains
• Asymptotic Bethe ansatzS-matrix and Landau–Lifshitz-type effective 2d actions
• On quantum integrability of the Landau–Lifshitz model
• Analytical Bethe ansatz for the boundarySU(2)-invariant Thirring model
• Quantum inverse scattering and the lambda deformed principal chiral model
• On Integrable Field Theories as Dihedral Affine Gaudin Models
• Bethe ansatz in stringy sigma models
• On the equivalence theorem for integrable systems
• Higher charges and regularized quantum trace identities in su(1,1) Landau–Lifshitz model
• Spin Chain Models of Free Fermions
• Integrable theories and generalized graded Maillet algebras
• Introduction to the Statistical Physics of Integrable Many-body Systems
• Quadratic algebras and integrable systems

This page was built for publication: Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models