Results 271 to 280 of about 7,333,366 (298)

Exact solutions and instability analysis of a fifth-order nonlinear evolution equation exhibiting multi-scale wave structures. [PDF]

Sci Rep
Hasan WM, Ahmed HM, Ahmed AM, Rezk HM, Rabie WB.   +4 more
europepmc   +1 more source

Integrable Lattice Spin Models from Supersymmetric Dualities [PDF]

Physics of Particles and Nuclei Letters, 2018
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, the partition function of the lattice model is the partition function of the gauge theory and the ...
Ilmar Gahramanov, Shahriyar Jafarzade
exaly   +6 more sources

Branes and integrable lattice models [PDF]

Modern 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

Integrable 3D lattice model in M-theory

Journal of High Energy Physics, 2023
Abstract It is argued that the supersymmetric index of a certain system of branes in M-theory is equal to the partition function of an integrable three-dimensional lattice model. The local Boltzmann weights of the lattice model satisfy a generalization of Zamolodchikov’s tetrahedron equation.
Junya Yagi
exaly   +5 more sources

New integrable lattice models from Fuss-Catalan algebras [PDF]

Nuclear Physics B, 1998
We construct new hyperbolic solutions of the Yang-Baxter equation, using the Fuss-Catalan algebras, a set of multi-colored versions of the Temperley-Lieb algebra, recently introduced by Bisch and Jones.
P di Francesco
exaly   +2 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, L D Faddeev
exaly   +2 more sources

Quiver gauge theories and integrable lattice models [PDF]

Journal 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
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 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