Solutions of the reflection equation for the Uq(G2) vertex model.

  title={Solutions of the reflection equation for the Uq(G2) vertex model.},
  author={Antonio Lima-Santos and M J Martins},
  journal={Nuclear Physics},
7 Citations

On the Temperley–Lieb reflection matrices

This work concerns the boundary integrability of the spin- Temperley–Lieb model. A systematic computation method is used to construct the solutions of the boundary Yang–Baxter equations. For s

New reflection matrices for the Uq(gl(m|n)) case

We examine supersymmetric representations of the B-type Hecke algebra. We exploit such representations to obtain new non-diagonal solutions of the reflection equation associated with the super

A boundary matrix for AdS/CFT SU(1|1) spin chain

By solving the right reflection equation proposed in the reference (Hofman and Maldacena, 2007 J. High Energy Phys. JHEP11(2007)063 [arXiv:0708.2272]) to describe the Z = 0 giant graviton branes, we

Temperley–Lieb K-matrices

This work concerns studies of boundary integrability of the vertex models from representations of the Temperley–Lieb algebra associated with the quantum group 𝒰q[Xn] for the affine Lie algebras Xn =

Multiplet Classification of Reducible Verma Modules over the G 2 Algebra

  • V. Dobrev
  • Mathematics
    Journal of Physics: Conference Series
  • 2019
In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebra G 2(2) which is split real form of G 2. We give

Reflection equation for the N = 3 Cremmer–Gervais R-matrix

We consider the reflection equation of the N = 3 Cremmer–Gervais R-matrix. The reflection equation is shown to be equivalent to 38 equations which do not depend on the parameter of the R-matrix, q.

On \mathcal {A}_{n-1}^{(1)} , \mathcal {B}_{n}^{(1)} , \mathcal {C}_{n}^{(1)} , \mathcal {D}_{n}^{(1)} , \mathcal {A}_{2n}^{(2)} , \mathcal {A}_{2n-1}^{(2)} , and \mathcal {D}_{n+1}^{(2)} reflection K-matrices

We present the classification of the most general regular solutions to the boundary Yang–Baxter equations for vertex models associated with non-exceptional affine Lie algebras. Reduced solutions



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

Classification of solutions to the reflection equation for two-component systems

The symmetries, especially those related to the R-transformation, of the reflection equation (RE) for two-component systems are analysed. The classification of solutions to the RE for eight-, six-

Integrable XYZ spin chain with boundaries

We consider a general class of boundary terms of the open XYZ spin-1/2 chain compatible with integrability. We have obtained the general elliptic solution of a K-matrix obeying the boundary

Hecke algebra solutions to the reflection equation

We construct solutions to Sklyanin's reflection equation in the case in which the bulk Yang-Baxter solution is of Hecke algebra type. Each solution constitutes an extension of the Hecke algebra