7 Citations
On the Temperley–Lieb reflection matrices
- Mathematics
- 2010
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
- Mathematics
- 2009
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…
Spectrum of the supersymmetric t–J model with non-diagonal open boundaries
- Mathematics, Physics
- 2007
A boundary matrix for AdS/CFT SU(1|1) spin chain
- Physics
- 2009
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…
Algebraic Bethe ansatz for U(1) invariant integrable models: The method and general results
- Mathematics
- 2009
Temperley–Lieb K-matrices
- Mathematics
- 2011
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
- MathematicsJournal 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
- Mathematics
- 2010
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
- Mathematics
- 2006
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…
References
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Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms
- Mathematics, Physics
- 1996
Boundary K-matrices for the six vertex and the n(2n-1)An-1 vertex models
- Mathematics
- 1993
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
- Mathematics
- 1999
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
- Physics, Mathematics
- 1994
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
- Mathematics
- 1994
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…