Results 281 to 290 of about 1,334 (305)
Minimal models in conformal field theory and integrable lattice models
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Branes and integrable lattice models [PDF]
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
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Local Hamiltonians for integrable quantum models on a lattice
Theoretical and Mathematical Physics(Russian Federation), 1983This 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
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Quiver gauge theories and integrable lattice models [PDF]
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
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ONSAGER ALGEBRA AND INTERGRABLE LATTICE MODELS
Modern Physics Letters A, 1991We 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
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Generalized Gibbs ensemble in integrable lattice models [PDF]
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
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GENERALIZED SKLYANIN ALGEBRA AND INTEGRABLE LATTICE MODELS
International Journal of Modern Physics A, 1994We 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.
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Generalized parafermionic theory and integrable lattice models
Physical Review Letters, 1990Summary: 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.
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A continuous-integral method for spin lattice models
Il Nuovo Cimento A, 1978A 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
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