Results 1 to 10 of about 172 (130)
Yang–Baxter Equations, Computational Methods and Applications [PDF]
Axioms, 2015 Computational methods are an important tool for solving the Yang–Baxter equations (in small dimensions), for classifying (unifying) structures and for solving related problems.
Florin F. Nichita
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On the Colored and the Set-Theoretical Yang–Baxter Equations
Axioms, 2021 This paper is related to several articles published in AXIOMS, SCI, etc. The main concepts of the current paper are the colored Yang–Baxter equation and the set-theoretical Yang–Baxter equation.
Laszlo Barna Iantovics +1 more
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On the parametrization of solutions of the Yang--Baxter equations [PDF]
Open Communications in Nonlinear Mathematical Physics, 2022 We study all five-, six-, and one eight-vertex type two-state solutions of the Yang-Baxter equations in the form $A_{12} B_{13} C_{23} = C_{23} B_{13} A_{12}$, and analyze the interplay of the `gauge' and `inversion' symmetries of these solution ...
J. Hietarinta, C. Viallet
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Mathematics and Poetry · Yang–Baxter Equations, Boolean Algebras, and BCK-Algebras
Sci, 2022 The current paper explores the potential of the areas between mathematics and poetry. We will first recall some definitions and results that are needed to construct solutions of the Yang–Baxter equation.
Tugce Kalkan +4 more
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A New Approach to Braided T-Categories and Generalized Quantum Yang–Baxter Equations
Mathematics, 2022 We introduce and study a large class of coalgebras (possibly (non)coassociative) with group-algebraic structures Hopf (non)coassociative group-algebras.
Senlin Zhang, Shuanhong Wang
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Yang-Baxter integrable Lindblad equations
SciPost Physics, 2020 We consider Lindblad equations for one dimensional fermionic models and quantum spin chains. By employing a (graded) super-operator formalism we identify a number of Lindblad equations than can be mapped onto non-Hermitian interacting Yang-Baxter ...
Aleksandra A. Ziolkowska, Fabian H.L. Essler
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The Lax pair for the fermionic Bazhanov-Stroganov R-operator
Physics Letters B, 2021 We derive the Lax connection of the free fermion model on a lattice starting from the fermionic formulation of Bazhanov-Stroganov's three-parameter elliptic parametrization for the R-operator.
A. Melikyan, G. Weber
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Superintegrable cellular automata and dual unitary gates from Yang-Baxter maps
SciPost Physics, 2022 We consider one dimensional block cellular automata, where the local update rules are given by Yang-Baxter maps, which are set theoretical solutions of the Yang-Baxter equations.
Tamás Gombor, Balázs Pozsgay
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The tetrahedral Zamolodchikov algebra for the fermionic Bazhanov-Stroganov R-operator
Physics Letters B, 2020 We find the fermionic R-operator based on Bazhanov-Stroganov three-parameter elliptic parametrization of the free fermion model, and the corresponding Yang-Baxter and decorated Yang-Baxter equations, which are of the difference type in one of the ...
A. Melikyan
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All Jordanian deformations of the $AdS_5 \times S^5$ superstring
SciPost Physics, 2023 We explicitly construct and classify all Jordanian solutions of the classical Yang-Baxter equation on $\mathfrak{psu}(2,2|4)$, corresponding to Jordanian Yang-Baxter deformations of the $AdS_5\times S^5$ superstring.
Riccardo Borsato, Sibylle Driezen
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