Results 101 to 110 of about 43,972 (190)

Flag Varieties and the Yang-Baxter Equation

open access: yesLetters in Mathematical Physics, 1997
14 pages, latex. To appear in Lett.
Lascoux, Alain   +2 more
openaire   +2 more sources

Asymptotic representations and q-oscillator solutions of the graded Yang–Baxter equation related to Baxter Q-operators

open access: yesNuclear Physics B, 2014
We consider a class of asymptotic representations of the Borel subalgebra of the quantum affine superalgebra Uq(glˆ(M|N)). This is characterized by Drinfeld rational fractions. In particular, we consider contractions of Uq(gl(M|N)) in the FRT formulation
Zengo Tsuboi
doaj   +1 more source

Associative triples and the Yang-Baxter equation [PDF]

open access: yesIsrael Journal of Mathematics, 2004
The aim of the paper under review is to construct new solutions to the quantum Yang-Baxter equation. The well-known construction of \textit{V. G. Drinfeld} is to quantize the solution to the classical Yang-Baxter equation resulting from a Manin triple [Proc. Int. Congr. Math., Berkeley/Calif. 1986, Vol.
openaire   +1 more source

Twisted boundary energy and low energy excitation of the XXZ spin torus at the ferromagnetic region

open access: yesNew Journal of Physics, 2018
We investigate the thermodynamic limit of the one-dimensional ferromagnetic XXZ model with twisted (or antiperiodic) boundary conditions. It is shown that the distribution of the Bethe roots of the inhomogeneous Bethe ansatz equations (BAEs) for the ...
Yi Qiao   +6 more
doaj   +1 more source

Factorization of rational six vertex model partition functions

open access: yesNuclear Physics B
We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular boundary.
Kohei Motegi
doaj   +1 more source

Embedding integrable spin models in solvable vertex models on the square lattice

open access: yesNuclear Physics B
Exploring a mapping among n-state spin and vertex models on the square lattice, we argue that a given integrable spin model with edge weights satisfying the rapidity difference property can be formulated in the framework of an equivalent solvable vertex ...
M.J. Martins
doaj   +1 more source

Higher Conjugations and the Yang–Baxter Equation

open access: yesJournal 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

New Link Invariants and Yang-Baxter Equation

open access: yes, 1994
We have new solutions to the Yang-Baxter equation, from which we have constructed new link invariants containing more than two arbitrary parameters. This may be regarded as a generalization of the Jones' polynomial. We have also found another simpler invariant which discriminates only the linking structure of knots with each other, but not details of ...
openaire   +3 more sources

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