搜索结果: 1-15 共查到“理学 Yang-Baxter”相关记录19条 . 查询时间(0.093 秒)
As an application, we show that with boundary conditions corresponding to integer partitions , the six-vertex model is exactly solvable and equal to a Schur
polynomial s times a deformation of the ...
Factorial Schur Functions and the Yang-Baxter Equation
Yang-Baxter Equation Factorial Schur Functions
2015/7/6
Factorial Schur functions are generalizations of Schur functions that have, in
addition to the usual variables, a second family of \shift" parameters. We show that a
factorial Schur function times a...
Abstract: At the previous congress (CRM 6), we reviewed the construction of Yang-Baxter operators from associative algebras, and presented some (colored) bialgebras and Yang-Baxter systems related to ...
Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation
Elliptic gamma-function multi-spin solutions the Yang-Baxter equation
2011/7/27
Abstract: We present a generalization of the master solution to the quantum Yang-Baxter equation (obtained recently in arXiv:1006.0651) to the case of multi-component continuous spin variables taking ...
Poisson Yang-Baxter maps with binomial Lax matrices
Poisson Yang-Baxter binomial Lax matrices
2011/7/7
A construction of multidimensional parametric Yang-Baxter maps is presented. The corresponding Lax matrices are the symplectic leaves of first degree matrix polynomials equipped with the Sklyanin brac...
Poisson Yang-Baxter maps with binomial Lax matrices
Poisson Yang-Baxter maps binomial Lax matrices Quantum Algebra
2011/7/25
Abstract: A construction of multidimensional parametric Yang-Baxter maps is presented. The corresponding Lax matrices are the symplectic leaves of first degree matrix polynomials equipped with the Skl...
New solutions to the $s\ell_q(2)$-invariant Yang-Baxter equations at roots of unity
New solutions $s\ell_q(2)$-invariant Yang-Baxter equations
2011/3/1
We have found new solutions to Yang-Baxter equations with R-matrices acquiring slq(2) symmetry
at roots of unity using indecomposable representations of the algebra.
Yang-Baxter $\breve{R}$ matrix, Entanglement and Yangian
Yang-Baxter $\breve{R}$ matrix Entanglement Yangian
2011/1/19
We present a method to construct “X” form unitary Yang-Baxter ˘R matrices, which act on the tensor product space V j1\ i ⊗V j2 i+1. We can obtain a set of entangled states for (2 j1+1)×(2 j...
The (G, \theta)-Lie algebras are structures which unify the Lie algebras and Lie superalgebras. We use them to produce solutions for the quantum Yang-Baxter equation. The constant and the spectral-pa...
Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation
elliptic curves the associative Yang-Baxter equation
2010/11/23
In this paper we study unitary solutions of the associative Yang--Baxter equation (AYBE) with spectral parameters. We show that to each point $\tau$ from the upper half-plane and an invertible $n \tim...
The (G, \theta)-Lie algebras are structures which unify the Lie algebras and Lie superalgebras. We use them to produce solutions for the quantum Yang-Baxter equation. The constant and the spectral-par...
Folding of set-theoretical solutions of the Yang-Baxter equation
set-theoretical solution of the quantum Yang-Baxter equation parabolic subgroups of Garside groups folding
2010/12/8
We establish a correspondence between the invariant subsets of a non-degenerate symmetric set-theoretical solution of the quantum Yang-Baxter equation and the parabolic subgroups of its structure grou...
Solutions of the Yang-Baxter equation: descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras
Yang-Baxter equation six-vertex model dihedral group algebras
2010/4/6
The representation theory of the Drinfeld doubles of dihedral groups is used to solve the Yang-Baxter equation. Use of the 2-dimensional representations recovers the six-vertex model solution. Solutio...
A Nonperturbative Proposal for Nonabelian Tensor Gauge Theory and Dynamical Quantum Yang-Baxter Maps
Nonabelian Tensor Gauge Theory Dynamical Quantum Yang-Baxter Maps
2010/4/2
We propose a nonperturbative approach to nonabelian two-form gauge theory. We formulate the theory on a lattice in terms of plaquette as fundamental dynamical variable, and assign U(N) Chan-Paton colo...
Yang-Baxter Maps from the Discrete BKP Equation
Yang-Baxter Maps Discrete BKP Equation piecewise-linear
2010/4/7
We construct rational and piecewise-linear Yang-Baxter maps for a general N-reduction of the discrete BKP equation.