Boundary matrices for the higher spin six vertex model

@article{Mangazeev2019BoundaryMF,
  title={Boundary matrices for the higher spin six vertex model},
  author={Vladimir V Mangazeev and Xilin Lu},
  journal={Nuclear Physics B},
  year={2019}
}
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9 Citations
Highly Influential Citations
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Background Citations
5
Methods Citations
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9 Citations

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Reflection $\boldsymbol{K}$ matrices associated with an Onsager coideal of $\boldsymbol{U_p(A^{(1)}_{n-1})}, \boldsymbol{U_p(B^{(1)}_{n})}, $ $ \boldsymbol{U_p(D^{(1)}_{n})}$ and $\boldsymbol{U_p(D^{(2)}_{n+1})}$

We determine the intertwiners of a family of Onsager coideal subalgebras of the quantum affine algebra $U_p(A^{(1)}_{n-1})$ in the fundamental representations and $U_p(B^{(1)}_{n}), U_p(D^{(1)}_{n}),…

References

SHOWING 1-10 OF 41 REFERENCES

On the Yang–Baxter equation for the six-vertex model

Higher spin six vertex model and symmetric rational functions

We consider a fully inhomogeneous stochastic higher spin six vertex model in a quadrant. For this model we derive concise integral representations for multi-point q-moments of the height function and…

Boundary K-matrices for the six vertex and the n(2n-1)An-1 vertex models

Boundary conditions compatible with integrability are obtained for two-dimensional models by solving the factorizability equations for the reflection matrices K+or-( theta ). For the six vertex model…

Lectures on Integrable Probability: stochastic vertex models and symmetric functions

We consider a homogeneous stochastic higher spin six vertex model in a quadrant. For this model we derive concise integral representations for multi-point q-moments of the height function and for the…

A complete Bethe ansatz solution for the open spin-s XXZ chain with general integrable boundary terms

We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parameters…

Construction of R-matrices for symmetric tensor representations related to U q ( sl n ˆ )

In this paper we construct a new factorized representation of the R-matrix related to the affine algebra U q ( sl n ^ ) for symmetric tensor representations with arbitrary weights. Using the 3D…

Matrix product solutions to the reflection equation from three dimensional integrability

We formulate a quantized reflection equation in which q-boson valued L and K matrices satisfy the reflection equation up to conjugation by a solution to the Isaev–Kulish 3D reflection equation. By…

Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms

Integrable boundary conditions for a non-Abelian anyon chain with D(D3) symmetry

Stochastic R matrix for Uq(An (1))