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Anyonization of bosons

open access: yes
Nägerl H   +9 more
europepmc   +1 more source

Branes and integrable lattice models [PDF]

open access: yesModern Physics Letters A, 2017
This is a brief review of my work on the correspondence between four-dimensional [Formula: see text] supersymmetric field theories realized by brane tilings and two-dimensional integrable lattice models. I explain how to construct integrable lattice models from extended operators in partially topological quantum field theories, and elucidate the ...
Junya Yagi
exaly   +4 more sources
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Local Hamiltonians for integrable quantum models on a lattice

Theoretical and Mathematical Physics(Russian Federation), 1983
This paper discusses a method of constructing local Hamiltonians for integrable lattice models proposed by Tarasov, Takhtadzhyan, and Faddeev. The method is generalized to the case of inhomogeneous models. Another model, inhomogeneous, is considered which describes the interaction of spin impurities with a model of the type of a nonlinear lattice ...
L A Takhtadzhyan, Faddeev L D
exaly   +2 more sources

Quiver gauge theories and integrable lattice models [PDF]

open access: yesJournal of High Energy Physics, 2015
We discuss connections between certain classes of supersymmetric quiver gauge theories and integrable lattice models from the point of view of topological quantum field theories (TQFTs). The relevant classes include 4d $\mathcal{N} = 1$ theories known as brane box and brane tilling models, 3d $\mathcal{N} = 2$ and 2d $\mathcal{N} = (2,2)$ theories ...
Junya Yagi, Yagi Junya
exaly   +4 more sources

ONSAGER ALGEBRA AND INTERGRABLE LATTICE MODELS

Modern Physics Letters A, 1991
We derive many integrable lattice from the Ising and superintegrable chiral Potts models using the Onsager algebra. For each of these models, we also construct a class of integrable models from the automorphisms of the Onsager algebra. The extension of the Onsager algebra and associated intergrable models are considered.
Ahn, Changrim, Shigemoto, Kazuyasu
openaire   +2 more sources

Generalized Gibbs ensemble in integrable lattice models [PDF]

open access: yesJournal of Statistical Mechanics: Theory and Experiment, 2016
Abstract The generalized Gibbs ensemble (GGE) was introduced ten years ago to describe observables in isolated integrable quantum systems after equilibration. Since then, the GGE has been demonstrated to be a powerful tool to predict the outcome of the relaxation dynamics of few-body observables in a variety of integrable models, a ...
Lev Vidmar, Marcos Rigol
exaly   +4 more sources

GENERALIZED SKLYANIN ALGEBRA AND INTEGRABLE LATTICE MODELS

International Journal of Modern Physics A, 1994
We study three properties of the ℤn⊗ℤn-symmetric lattice model; i.e. the initial condition, the unitarity and the crossing symmetry. The scalar factors appearing in the unitarity and the crossing symmetry are explicitly obtained. The [Formula: see text]-Sklyanin algebra is introduced in the natural framework of the inverse problem for this model.
openaire   +1 more source

Generalized parafermionic theory and integrable lattice models

Physical Review Letters, 1990
Summary: We show that the criticality of integrable lattice models based on the Lie algebras \(A_ n\), \(D_ n\), \(E_ n\) can be understood as the product of certain numbers of bosonic fields and a generalized parafermionic (fractional spin) theory (GPT). We compute the central charge of the GPT using the thermodynamic Bethe ansatz approach.
openaire   +3 more sources

A continuous-integral method for spin lattice models

Il Nuovo Cimento A, 1978
A new method for spin lattice models is developed. An algorithm for the construction of the continuous-integral representation for the partition function is formulated. A method for finding the critical point of the two-dimensional models is developed.
E. S. Fradkin, D. M. Shteingradt
openaire   +1 more source

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