Results 31 to 40 of about 43,972 (190)

Yang-Baxter integrable Lindblad equations [PDF]

SciPost Physics, 2020
We consider Lindblad equations for one dimensional fermionic models and quantum spin chains. By employing a (graded) super-operator formalism we identify a number of Lindblad equations than can be mapped onto non-Hermitian interacting Yang-Baxter integrable models.
Ziolkowska, AA, Essler, FHL
openaire   +4 more sources

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

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

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

Optical simulation of the Yang-Baxter equation [PDF]

Physical Review A, 2008
15 pages, 7 figures; introduction and second section are dramatically rewritten, in order to improve the physical ...
Hu, Shuang-Wei, Hu, Ming-Guang, Xue, Kang, Ge, Mo-Lin   +3 more
openaire   +2 more sources

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

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 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

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