Results 21 to 30 of about 172 (130)

Yang-Baxter Equations

, 2006
Preprint of an Encyclopedia article (Encyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber and Tsou S.T., Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), volume 5, pages 465-473) extended with an appendix on relations of electric networks and solvable models. We welcome comments, especially on the added appendix. Please, note that the
Perk, Jacques H. H., Au-Yang, Helen
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Yang–Baxter sigma models based on the CYBE

Nuclear Physics B, 2015
It is known that Yang–Baxter sigma models provide a systematic way to study integrable deformations of both principal chiral models and symmetric coset sigma models.
Takuya Matsumoto, Kentaroh Yoshida
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All Solutions of the Yang–Baxter-Like Matrix Equation for Nilpotent Matrices of Index Two

Complexity, 2020
Let A be a nilpotent matrix of index two, and consider the Yang–Baxter-like matrix equation AXA=XAX. We first obtain a system of matrix equations of smaller sizes to find all the solutions of the original matrix equation.
Duanmei Zhou, Jiawen Ding
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A family of solutions of the Yang–Baxter equation

Journal of Algebra, 2014
11 ...
Bachiller, David, Cedó, Ferran
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Lax pairs for new ZN-symmetric coset σ-models and their Yang-Baxter deformations

Nuclear Physics B, 2022
Two-dimensional σ-models with ZN-symmetric homogeneous target spaces have been shown to be classically integrable when introducing WZ-terms in a particular way. This article continues the search for new models of this type now allowing some kinetic terms
David Osten
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Affine actions and the Yang–Baxter equation [PDF]

Advances in Operator Theory, 2018
22 pages ...
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The Yang–Baxter equations and differential identities [PDF]

Journal of Mathematical Physics, 1990
The solution of the Yang–Baxter equation for integrable systems is shown to be equivalent to the existence of a differential identity. Quantum integration formulas for the calculation of commutators of monodromy matrices are given. Based on the integration formulas and the systematic use of differential identities, the Yang–Baxter equations for the ...
Pu, Fu-Cho, Sattinger, D. H.
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Non-Associative Structures and Other Related Structures

Axioms, 2020
In January 2019, MDPI published a book titled Hopf Algebras, Quantum Groups and Yang–Baxter Equations, based on a successful special issue [...]
Florin F. Nichita
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Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems

Journal of High Energy Physics, 2018
The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differential equations.
R. S. Vieira
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Majorana fermions solve the tetrahedron equations as well as higher simplex equations

Nuclear Physics B
Yang-Baxter equations define quantum integrable models. The tetrahedron and higher simplex equations are multi-dimensional generalizations. Finding the solutions of these equations is a formidable task.
Pramod Padmanabhan, Vladimir Korepin
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