Dilute Birman--Wenzl--Murakami Algebra and $D_{n+1}^{(2)}$ models

Abstract

A ``dilute'' generalisation of the Birman--Wenzl--Murakami algebra is considered. It can be ``Baxterised'' to a solution of the Yang--Baxter algebra. The $D_{n+1}^{(2)}$ vertex models are examples of corresponding solvable lattice models and can be regarded as the dilute version of the $B_n^{(1)}$ vertex models.

11 pages

References in corpus (6)

• Order Parameters of the Dilute A Models
• Solvable lattice models labelled by Dynkin diagrams
• On the construction of integrable dilute ADE models
• Multi-Colour Braid-Monoid Algebras
• Solvable RSOS models based on the dilute BWM algebra
• Trigonometric R Matrices related to `Dilute' Birman--Wenzl--Murakami Algebra

Cited by in corpus (14)

• R-matrices and Spectrum of Vertex Models based on Superalgebras
• Phase Diagram of an Integrable Alternating $U_q[sl(2|1)]$ Superspin Chain
• Representations of the quantum doubles of finite group algebras and solutions of the Yang--Baxter equation
• New R-matrices from Representations of Braid-Monoid Algebras based on Superalgebras
• Integrable anyon chains: from fusion rules to face models to effective field theories
• Solvable RSOS models based on the dilute BWM algebra
• Fusion of Dilute $A_L$ Lattice Models
• Unified algebraic Bethe ansatz for two-dimensional lattice models
• The Bubble Algebra: Structure of a Two-Colour Temperley-Lieb Algebra
• Exactly soluble isotropic spin-1/2 ladder models
• Yang-Baxter algebras based on the two-colour BWM algebra
• Reflection matrices with $U_q[os{p}^{(2)}(2|2m)]$ symmetry
• Representations of Two-Colour BWM Algebras and Solvable Lattice Models
• Representation theory for dilute lattice models