Solutions of the boundary Yang-Baxter equation for ADE models

Abstract

We present the general diagonal and, in some cases, non-diagonal solutions of the boundary Yang-Baxter equation for a number of related interaction-round-a-face models, including the standard and dilute A_L, D_L and E_{6,7,8} models.

32 pages. Sections 7.2 and 9.2 revised

References in corpus (7)

• Interaction-Round-a-Face Models with Fixed Boundary Conditions: The ABF Fusion Hierarchy
• Solvable lattice models labelled by Dynkin diagrams
• Multi-Colour Braid-Monoid Algebras
• Boundary Yang-Baxter equation in the RSOS/SOS representation
• A Construction of Solutions to Reflection Equations for Interaction-Round-a-Face Models
• Intertwiners and \ade Lattice Models
• Exact solution and surface critical behaviour of open cyclic SOS lattice models

Cited by in corpus (13)

• Integrable and Conformal Boundary Conditions for sl(2) A-D-E Lattice Models and Unitary Minimal Conformal Field Theories
• Integrable Boundaries, Conformal Boundary Conditions and A-D-E Fusion Rules
• On $A_{n-1}^{(1)},B_n^{(1)},C_n^{(1)},D_n^{(1)},A_{2n}^{(2)},A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices
• $C_n^{(1)}$, $D_n^{(1)}$ and $A_{2n-1}^{(2)}$ reflection K-matrices
• On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary
• The principal indecomposable modules of the dilute Temperley-Lieb algebra
• Lattice Approach to Excited TBA Boundary Flows: Tricritical Ising Model
• Dynamical Spin Chains in 4D $\mathcal{N}=2$ SCFTs
• Solutions of the reflection equations for the $U_q[G_2]$ vertex model
• On the ${\mathcal{U}}_q[sl(2)]$ Temperley-Lieb reflection matrices
• Connection problems for quantum affine KZ equations and integrable lattice models
• Generalized blob algebras and alcove geometry
• Integrable Boundaries and Universal TBA Functional Equations