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Correlation Functions for Lattice Integrable Models
Acta Polytechnica, 2008 In this lectures I consider the problem of calculating the correlation functions for XXZ spin chain. First, I explain in details the free fermion case.
F. Smirnov
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New series of 3D lattice integrable models [PDF]
International Journal of Modern Physics A, 1993 In this paper we present a new series of three-dimensional integrable lattice models with N colors. The case N=2 generalizes the elliptic model of Ref. 8.
Mangazeev, V V +5 more
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On different approaches to integrable lattice models
Journal of Physics A: Mathematical and Theoretical, 2023 Interaction-Round the Face (IRF) models are two-dimensional lattice models of statistical mechanics defined by an affine Lie algebra and admissibility conditions depending on a choice of representation of that affine Lie algebra. Integrable IRF models, i.
Cabezas, J. Ramos +3 more
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Branes and categorifying integrable lattice models [PDF]
Advances in Theoretical and Mathematical Physics, 2020 19 pp. Minor improvements and typos corrected.
Ashwinkumar, Meer +2 more
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Integrable lattice models and holography [PDF]
Journal of High Energy Physics, 2021 AbstractWe study four-dimensional Chern-Simons theory onD ×ℂ (whereDis a disk), which is understood to describe rational solutions of the Yang-Baxter equation from the work of Costello, Witten and Yamazaki. We find that the theory is dual to a boundary theory, that is a three-dimensional analogue of the two-dimensional chiral WZW model.
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3-dimensional integrable lattice models and the Bazhanov-Stroganov model
Differential Geometry and Physics, 2006 After reviewing the construction of 3D integrable generalized Zamolodchikov-Bazhanov-Baxter models starting from the Sergeev mapping operator, we show how the L-operator of the 2D-integrable Bazhanov-Stroganov model follows from a Linear Problem by ...
Pakuliak, Stanislav +2 more
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Integrability for multidimensional lattice models [PDF]
Physics Letters B, 1989 Abstract The generating principle for the algebraic construction of the hierarchy of the d-simplex equations generalizing the Yang-Baxter equation in any dimension d is given. Following this principle, we construct the generalization of the Lax equations for multidimensional integrable systems.
Jean Michel Maillet, Frank Nijhoff
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Microscopic conservation laws for integrable lattice models [PDF]
Monatshefte für Mathematik, 2021 22 ...
Benjamin Harrop-Griffiths +2 more
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Integrability of q-oscillator lattice model [PDF]
Physics Letters A, 2006 A simple formulation of an exactly integrable $q$-oscillator model on two dimensional lattice (in 2+1 dimensional space-time) is given. Its interpretation in the terms of 2d quantum inverse scattering method and nested Bethe Ansatz equations is discussed.
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Why scalar products in the algebraic Bethe ansatz have determinant representation
Journal of High Energy Physics, 2019 We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method
S. Belliard, N. A. Slavnov
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