Results 81 to 90 of about 172 (130)

Integrable Matrix Product States from boundary integrability

SciPost Physics, 2019
We consider integrable Matrix Product States (MPS) in integrable spin chains and show that they correspond to "operator valued" solutions of the so-called twisted Boundary Yang-Baxter (or reflection) equation. We argue that the integrability condition
Balázs Pozsgay, Lorenzo Piroli, Eric Vernier
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

Commuting solutions of the Yang–Baxter matrix equation

Applied Mathematics Letters, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiu Ding, Chenhua Zhang, Noah H. Rhee
openaire   +2 more sources

On the equivalence between n-state spin and vertex models on the square lattice

Nuclear Physics B
In this paper we investigate a correspondence among spin and vertex models with the same number of local states on the square lattice with toroidal boundary conditions.
M.J. Martins
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Yang-Baxter deformations of the OSP(1|2) WZW model

Physics Letters B
We obtain inequivalent classical r-matrices of the osp(1|2) Lie superalgebra as real solutions of the graded (modified) classical Yang-Baxter equation, in such a way that the corresponding automorphism transformation is employed.
Ali Eghbali, Yaghoub Samadi, Adel Rezaei-Aghdam   +2 more
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Unimodular jordanian deformations of integrable superstrings

SciPost Physics, 2019
We find new homogeneous r matrices containing supercharges, and use them to find new backgrounds of Yang-Baxter deformed superstrings. We obtain these as limits of unimodular inhomogeneous r matrices and associated deformations of AdS2 x S2 x T6 and ...
Stijn J. van Tongeren
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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
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Families of Integrable Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations.
Pavlos Kassotakis, Maciej Nieszporski
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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 ...
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Discrete Integrable Equations over Finite Fields

Symmetry, Integrability and Geometry: Methods and Applications, 2012
Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion concerns a generalized discrete KdV
Masataka Kanki, Jun Mada, Tetsuji Tokihiro   +2 more
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