Results 11 to 20 of about 1,573,184 (216)
Integrable lattice models and holography [PDF]
Journal of High Energy Physics, 2020 We study four-dimensional Chern-Simons theory on D × ℂ (where D is a disk), which is understood to describe rational solutions of the Yang-Baxter equation from the work of Costello, Witten and Yamazaki.
M. Ashwinkumar
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Branes and categorifying integrable lattice models [PDF]
Advances in Theoretical and Mathematical Physics, 2018 We elucidate how integrable lattice models described by Costello's 4d Chern-Simons theory can be realized via a stack of D4-branes ending on an NS5-brane in type IIA string theory, with D0-branes on the D4-brane worldvolume sourcing a meromorphic RR 1 ...
M. Ashwinkumar, M. Tan, Qin Zhao
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Quantum projectors and local operators in lattice integrable models [PDF]
Journal of Physics A: Mathematical and General, 2003 In the framework of the quantum inverse scattering method, we consider a problem of constructing local operators for one-dimensional quantum integrable models, especially for the lattice versions of the nonlinear Schrodinger and sine-Gordon models.
T. Oota
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Branes and integrable lattice models [PDF]
Modern Physics Letters A, 2016 This is a brief review of my work on the correspondence between four-dimensional $\mathcal{N} = 1$ supersymmetric field theories realized by brane tilings and two-dimensional integrable lattice models. I explain how to construct integrable lattice models
Junya Yagi
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Generalized Gibbs ensemble in integrable lattice models [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2016 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
L. Vidmar, M. Rigol
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New Integrable Lattice Models From Fuss-Catalan Algebras [PDF]
Nuclear Physics B, 1998 We construct new trigonometric 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.
Baxter +18 more
core +6 more sources
String-charge duality in integrable lattice models [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2015 We present an identification of the spectra of local conserved operators of integrable quantum lattice models and the density distributions of their thermodynamic particle content. This is derived explicitly for the Heisenberg XXZ spin chain.
E. Ilievski +3 more
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Quiver gauge theories and integrable lattice models [PDF]
Journal of High Energy Physics, 2015 A bstractWe 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).
Junya Yagi
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Integrability of $q$-oscillator lattice model [PDF]
Physics Letters A, 2005 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.
Baxter +6 more
core +2 more sources
Approximate conservation laws in perturbed integrable lattice models [PDF]
Physical Review B, 2015 We develop a numerical algorithm for identifying approximately conserved quantities in models perturbed away from integrability. In the long-time regime, these quantities fully determine correlation functions of local observables.
M. Mierzejewski +2 more
semanticscholar +4 more sources