Results 21 to 30 of about 43,926 (156)

Tri-vector deformations on compact isometries

European Physical Journal C: Particles and Fields, 2023
Classical Yang–Baxter equation governing bi-vector deformations of 10d supergravity is known to have no solutions along non-abelian compact isometries.
Edvard T. Musaev, Timophey Petrov
doaj   +1 more source

Hom-O-Operators and Hom-Yang-Baxter Equations

Advances in Mathematical Physics, 2015
In Hom-Lie set, we introduce the concept of Hom-O-operators and study its relation with classical Hom-Yang-Baxter equation, as well as left-symmetric Hom-algebras.
Yuanyuan Chen, Liangyun Zhang
doaj   +1 more source

An Independent Set of Axioms of MV-Algebras and Solutions of the Set-Theoretical Yang–Baxter Equation

Axioms, 2017
The aim of this paper is to give a new equivalent set of axioms for MV-algebras, and to show that the axioms are independent. In addition to this, we handle Yang–Baxter equation problem.
Tahsin Oner, Ibrahim Senturk, Gulsah Oner   +2 more
doaj   +1 more source

Reflecting magnons from D7 and D5 branes [PDF]

, 2008
We obtain the reflection matrices for the scattering of elementary magnons from certain open boundaries, corresponding to open strings ending on D7 and D5 branes in $AdS_5\times S^5$.
Ahn C, Ahn C, Arutyunov G, Arutyunov G, Arutyunov G, Arutyunov G Frolov S, Beisert N, Beisert N, Beisert N, Beisert N Loebbert F, Berenstein D E, Bianchi M, C A S Young, Chen B, Chen H Y, Chen H Y, D H Correa, DeWolfe O, Drukker N, Erler T, Hofman D M, Hofman D M, Karch A, Karch A, Kruczenski M, Lin H, Mann N, Minahan J A, Murgan R, Okamura K, Palla L, Skenderis K, Sklyanin E K, Staudacher M   +33 more
core   +3 more sources

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

Schur Polynomials and the Yang-Baxter equation [PDF]

, 2009
We show that within the six-vertex model there is a parametrized Yang-Baxter equation with nonabelian parameter group GL(2)xGL(1) at the center of the disordered regime. As an application we rederive deformations of the Weyl character formule of Tokuyama
A.G. Izergin, A.M. Hamel, A.M. Hamel, A.N. Kirillov, B. Brubaker, B. Brubaker, B. Sutherland, Ben Brubaker, C. Fan, C. Fan, D.P. Robbins, Daniel Bump, E. Lieb, G. Kuperberg, M. Jimbo, M. Jimbo, N.V. Tsilevich, R.J. Baxter, S. Majid, S. Okada, Solomon Friedberg, T. Tokuyama, V.E. Korepin, W.H. Mills, Yu.G. Stroganov   +24 more
core   +5 more sources

Stochasticization of Solutions to the Yang-Baxter Equation

, 2018
In this paper we introduce a procedure that, given a solution to the Yang-Baxter equation as input, produces a stochastic (or Markovian) solution to (a possibly dynamical version of) the Yang-Baxter equation.
Aggarwal, Amol, Borodin, Alexei, Bufetov, Alexey   +2 more
core   +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

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

Yang-Baxter and the Boost: splitting the difference

SciPost Physics, 2021
In this paper we continue our classification of regular solutions of the Yang-Baxter equation using the method based on the spin chain boost operator developed in \cite{deLeeuw:2019zsi}. We provide details on how to find all non-difference form solutions
Marius de Leeuw, Chiara Paletta, Anton Pribytok, Ana L. Retore, Paul Ryan
doaj   +1 more source