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Integrable Lattice Spin Models from Supersymmetric Dualities [PDF]

open access: yesPhysics of Particles and Nuclei Letters, 2017
Recently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mechanics such that the two-dimensional spin lattice is the quiver diagram ...
I. Gahramanov, Shahriyar Jafarzade
semanticscholar   +6 more sources

New series of 3D lattice integrable models [PDF]

open access: yesInternational Journal of Modern Physics A, 1993
In this paper we present a new series of 3-dimensional integrable lattice models with $N$ colors. The case $N=2$ generalizes the elliptic model of our previous paper.
V. Mangazeev, S. Sergeev, Y. Stroganov
semanticscholar   +5 more sources

Correlation Functions for Lattice Integrable Models

open access: yesActa 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
doaj   +4 more sources

Integrable lattice models from four-dimensional field theories [PDF]

open access: yes, 2013
This note gives a general construction of an integrable lattice model (and a solution of the Yang-Baxter equation with spectral parameter) from a four-dimensional field theory which is a mixture of topological and holomorphic.
K. Costello
semanticscholar   +5 more sources

Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices [PDF]

open access: yes, 1994
The procedure for obtaining integrable vertex models via reflection matrices on the square lattice with open boundaries is reviewed and explicitly carried out for a number of two- and three-state vertex models.
C. Yung, Murray T. Batchelor
semanticscholar   +3 more sources

New Integrable Models from the Gauge/YBE Correspondence [PDF]

open access: yes, 2013
We introduce a class of new integrable lattice models labeled by a pair of positive integers N and r. The integrable model is obtained from the Gauge/YBE correspondence, which states the equivalence of the 4d $\mathcal {N} =1$$S^{1}\times S^{3}/ \mathbb {
M. Yamazaki
semanticscholar   +3 more sources

Renormalization of twist-three operators and integrable lattice models [PDF]

open access: yes, 1999
We address the problem of solution of the QCD three-particle evolution equations which govern the Q 2 -dependence of the chiral-even quark–gluon–quark and three-gluon correlators contributing to a number of asymmetries at leading order and the ...
A. Belitsky
semanticscholar   +5 more sources

Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2010
Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and q-anyonic models as well as nonlinear Schrödinger ...
Anjan Kundu
doaj   +6 more sources

Entanglement Hamiltonians: From Field Theory to Lattice Models and Experiments [PDF]

open access: yesAnnals of Physics, 2022
Results about entanglement (or modular) Hamiltonians of quantum many‐body systems in field theory and statistical mechanics models, and recent applications in the context of quantum information and quantum simulation, are reviewed.
M. Dalmonte   +3 more
semanticscholar   +1 more source

Solution of tetrahedron equation and cluster algebras

open access: yesJournal of High Energy Physics, 2021
We notice a remarkable connection between the Bazhanov-Sergeev solution of Zamolodchikov tetrahedron equation and certain well-known cluster algebra expression. The tetrahedron transformation is then identified with a sequence of four mutations.
P. Gavrylenko   +2 more
doaj   +1 more source

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