Results 91 to 100 of about 1,345 (175)

Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model

Journal of High Energy Physics, 2018
The gravity dual of β-deformed ABJM theory can be obtained by a TsT transformation of AdS4 × ℂℙ3. We present a supercoset construction of ℂℙ3 to obtain this gravity dual theory as a Yang-Baxter deformation.
René Negrón, Victor O. Rivelles
doaj   +1 more source

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 solutions to the twisted Yang-Baxter equation

Journal of Mathematical Sciences, 1997
9 pages (Minor misprints are corrected. Published in Zap.nauch.semin. POMI 215 (1994))
openaire   +3 more sources

Diagonals of solutions of the Yang–Baxter equation

Forum Mathematicum
Abstract We study the diagonal mappings in non-involutive set-theoretic solutions of the Yang–Baxter equation. We show that, for non-degenerate solutions, they are commuting bijections. This gives the positive answer to the question: “Is every non-degenerate solution bijective?” of Cedó, Jespers and Verwimp.
Přemysl Jedlicka, Agata Pilitowska
openaire   +2 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

Higher Conjugations and the Yang–Baxter Equation

Journal of Algebra, 2002
In a previous paper [Commun. Algebra 29, No. 8, 3351-3363 (2001; Zbl 0999.16034)] the author constructed actions of the symmetric groups on tensor powers of commutative or cocommutative Hopf algebras. The current paper sets these actions in the wider context of representations of the braid group and solutions of the Yang-Baxter equation, a ...
openaire   +1 more source

Yang-Baxter equation and cryptography

, 2022
We find a method to construct iteratively from a non-degenerate involutive set-theoretic solution of the Yang-Baxter equation an infinite family of very large non-degenerate involutive set-theoretic solutions. In case the initial solution is irretractable, all the induced solutions are also irretractable. In case the initial solution is indecomposable,
openaire   +2 more sources

Kaleidoscope Yang-Baxter equation for Gaudin’s kaleidoscope models

SciPost Physics Core
Recently, researchers have proposed the Asymmetric Bethe Ansatz method, a theoretical tool that extends the scope of Bethe Ansatz-solvable models by "breaking" partial mirror symmetry via the introduction of a fully reflecting boundary.
Wen-Jie Qiu, Xi-Wen Guan, Yi-Cong Yu
doaj   +1 more source

On derived-indecomposable solutions of the Yang-Baxter equation

Publicacions Matemàtiques
24 pages.
I. Colazzo, M. Ferrara, M. Trombetti
openaire   +5 more sources

ℤ3 parafermionic chain emerging from Yang-Baxter equation. [PDF]

Sci Rep, 2016
Yu LW, Ge ML.
europepmc   +1 more source