Results 91 to 100 of about 43,972 (190)

Set-Theoretical Solutions for the Yang–Baxter Equation in GE-Algebras: Applications to Quantum Spin Systems

Axioms
This manuscript presents set-theoretical solutions to the Yang–Baxter equation within the framework of GE-algebras by constructing mappings that satisfy the braid condition and exploring the algebraic properties of GE-algebras.
Ibrahim Senturk, Tahsin Oner, Abdullah Engin Çalık, Hüseyin Şirin, Metin Bilge, Neelamegarajan Rajesh   +5 more
doaj   +1 more source

Rota-Baxter Operators on 3-Dimensional Lie Algebras and the Classical R-Matrices

Advances in Mathematical Physics, 2017
Our aim is to classify the Rota-Baxter operators of weight 0 on the 3-dimensional Lie algebra whose derived algebra’s dimension is 2. We explicitly determine all Rota-Baxter operators (of weight zero) on the 3-dimensional Lie algebras g.
Linli Wu, Mengping Wang, Yongsheng Cheng
doaj   +1 more source

Nonstandard Solutions of the Yang–Baxter Equation

Letters in Mathematical Physics, 1998
Explicit solutions of the quantum Yang-Baxter equation are given corresponding to the non-unitary solutions of the classical Yang-Baxter equation for sl(5).
Giaquinto, Anthony, Hodges, Timothy J.
openaire   +3 more sources

Tri-vector deformations in d = 11 supergravity

Journal of High Energy Physics, 2019
We construct a d = 11 supergravity analogue of the open-closed string map in the context of SL(5) Exceptional Field Theory (ExFT). The deformation parameter tri-vector Ω generalizes the non-commutativity bi-vector parameter Θ of the open string.
Ilya Bakhmatov, Nihat Sadik Deger, Edvard T. Musaev, Eoin Ó Colgáin, Mohammad M. Sheikh-Jabbari   +4 more
doaj   +1 more source

On rime Ansatz

, 2007
The ice Ansatz on matrix solutions of the Yang-Baxter equation is weakened to a condition which we call rime. Generic rime solutions of the Yang-Baxter equation are described.
Ogievetsky, Oleg, Popov, Todor
core   +1 more source

Semi-braces and the Yang–Baxter equation

Journal of Algebra, 2017
A brace is a set \(B\) together with two binary operations \(+\) and \(\circ\) such that \((B,+)\) is an abelian group, \((B,\circ)\) is a group, and \[ a\circ (b+c)= a\circ b - a +a \circ c, \] for all \(a,b,c\in B\). The importance of this algebraic structure is that a brace produces a set-theoretic solution of the Yang-Baxter equation, and, by ...
Catino, Francesco, Colazzo, Ilaria, Stefanelli, Paola   +2 more
openaire   +3 more sources

Yang-Baxter deformations beyond coset spaces (a slick way to do TsT)

Journal of High Energy Physics, 2018
Yang-Baxter string sigma-models provide a systematic way to deform coset geometries, such as AdS p × S p , while retaining the σ-model integrability. It has been shown that the Yang-Baxter deformation in target space is simply an open-closed string map ...
I. Bakhmatov, E. Ó Colgáin, M. M. Sheikh-Jabbari, H. Yavartanoo   +3 more
doaj   +1 more source

Finite Groups and Quantum Yang–Baxter Equations

Letters in Mathematical Physics, 1998
revised version, some errors were corrected, 3 ...
openaire   +2 more sources

On Some Unification Theorems: Yang–Baxter Systems; Johnson–Tzitzeica Theorem

Axioms
This paper investigates the properties of the Yang–Baxter equation, which was initially formulated in the field of theoretical physics and statistical mechanics.
Florin Felix Nichita
doaj   +1 more source

The Yang-Baxter Equation, (Quantum) Computers and Unifying Theories

Axioms, 2014
Quantum mechanics has had an important influence on building computers;nowadays, quantum mechanics principles are used for the processing and transmission ofinformation. The Yang-Baxter equation is related to the universal gates from quantumcomputing and
Radu Iordanescu, Florin F. Nichita, Ion M. Nichita   +2 more
doaj   +1 more source