Results 31 to 40 of about 1,345 (175)

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.
openaire   +1 more source

YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS

Forum of Mathematics, Sigma, 2019
Employing bijectivization of summation identities, we introduce local stochastic moves based on the Yang–Baxter equation for $U_{q}(\widehat{\mathfrak{sl}_{2}})$.
ALEXEY BUFETOV, LEONID PETROV
doaj   +1 more source

Yang-Baxter deformations of the AdS 5 × T 1,1 superstring and their backgrounds

Journal of High Energy Physics, 2021
We consider three-parameter Yang-Baxter deformations of the AdS 5 × T 1,1 superstring for abelian r-matrices which are solutions of the classical Yang-Baxter equation.
Laura Rado, Victor O. Rivelles, Renato Sánchez   +2 more
doaj   +1 more source

Stokes Phenomenon and Yang–Baxter Equations [PDF]

Communications in Mathematical Physics, 2019
We describe the monodromy of dynamical Knizhnik-Zamolodchikov equations via Stokes phenomenon. It defines a family of braid groups representations by certain Stokes matrices. In particular, these Stokes matrices satisfy the Yang-Baxter equation.
openaire   +2 more sources

Solving the $4 \times 4$ quantum Yang-Baxter equation

SciPost Physics
In this paper, we complete the classification of $4×4$ analytic solutions of the Yang–Baxter equation. Regular solutions were recently classified and in this paper we find the remaining non-regular solutions.
Marius de Leeuw, Vera Posch
doaj   +1 more source

Flag Varieties and the Yang-Baxter Equation

Letters in Mathematical Physics, 1997
14 pages, latex. To appear in Lett.
Lascoux, Alain, Leclerc, Bernard, Thibon, Jean-Yves   +2 more
openaire   +2 more sources

Left Braces: Solutions of the Yang-Baxter Equation [PDF]

Advances in Group Theory and Applications, 2018
This is a survey on the theory of left braces, an algebraic structure introduced by Rump as a generalization of Jacobson radical rings to study non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation.
Ferran Cedó
doaj   +1 more source

The Classical Hom–Leibniz Yang–Baxter Equation and Hom–Leibniz Bialgebras

Mathematics, 2022
In this paper, we first introduce the notion of Hom–Leibniz bialgebras, which is equivalent to matched pairs of Hom–Leibniz algebras and Manin triples of Hom–Leibniz algebras.
Shuangjian Guo, Shengxiang Wang, Xiaohui Zhang   +2 more
doaj   +1 more source

International student agency in academic self‐formation: Mobility as agency situated within knowledge structures

British Educational Research Journal, EarlyView.
Abstract With growing attention to student agency in academic and policy discourse, international education has become a prominent context for examining how students navigate new cultural, academic, linguistic and social environments. However, much of this discussion attributes student agency to the ‘international’ aspect, while overlooking the ...
Soyoung Lee
wiley   +1 more source

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
doaj   +1 more source