Results 91 to 100 of about 44,390 (178)

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

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

Statement B and the Yang-Baxter Equation

, 2011
This chapter reinterprets Statements A and B in a different context, and yet again directly proves that the reinterpreted Statement B implies the reinterpreted Statement A in Theorem 19.10.
Solomon Friedberg, Ben Brubaker, Daniel Bump   +2 more
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Solutions of the Quantum Dynamical Yang-Baxter Equation and Dynamical Quantum Groups

, 1998
The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Baxter (QYB) equation. This generalization was introduced by Gervais, Neveu, and Felder. Unlike the QYB equation, the QDYB equation is not an algebraic but a
Etingof, Pavel, Varchenko, Alexander
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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

The Yang-Baxter Equation for Integrable Systems

, 1989
Pu, Fu-cho; Sattinger, D.H.. (1989). The Yang-Baxter Equation for Integrable Systems.
Sattinger, D.H., Pu, Fu-cho
core  

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

Solutions of the boundary Yang-Baxter equation for arbitrary spin

, 2002
We use boundary quantum group symmetry to obtain recursion formulae which determine nondiagonal solutions of the boundary Yang–Baxter equation (reflection equation) of the XXZ type for any spin ...
Nepomechie, Rafael I, Delius, G.W., Delius, G. W, Nepomechie, R.I.   +3 more
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Algebro-Geometric Aspects of the Classical Yang-Baxter Equation

, 2015
In this thesis we consider algebro-geometric aspects of the Classical Yang-Baxter Equation and the Generalised Classical Yang-Baxter Equation. In chapter one we present a method to construct solutions of the Generalised Classical Yang-Baxter Equation ...
Galinat, Lennart
core  

Flag Varieties and the Yang-Baxter Equation

, 1996
We investigate certain bases of Hecke algebras defined by means of the YangBaxter equation, which we call Yang-Baxter bases. These bases are essentially selfadjoint with respect to a canonical bilinear form.
Jean-yves Thibon, Alain Lascoux, Bernard Leclerc   +2 more
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