activity
19922023
most citedDifference Equations in Spin Chains with a Boundary

108 citations · 491 across the 26 of their papers we have counts for

collaborators

27 papers

math-ph2023

A Q-operator for open spin chains II: boundary factorization

Alec Cooper, Bart Vlaar, Robert Weston

One of the features of Baxter's Q-operators for many closed spin chain models is that all transfer matrices arise as products of two Q-operators with shifts in the spectral paramet…

math-ph2020★ 10 cited

A Q-operator for open spin chains I: Baxter's TQ relation

Bart Vlaar, Robert Weston

We construct a Q-operator for the open XXZ Heisenberg quantum spin chain with diagonal boundary conditions and give a rigorous derivation of Baxter's TQ relation. Key roles in the…

math.RA2018★ 10 cited

Combinatorial solutions to the reflection equation

Agata Smoktunowicz, Leandro Vendramin, Robert Weston

We use ring-theoretic methods and methods from the theory of skew braces to produce set-theoretic solutions to the reflection equation. We also use set-theoretic solutions to const…

math-ph2017★ 9 cited

Lattice Supersymmetry in the Open XXZ Model: An Algebraic Bethe Ansatz Analysis

Robert Weston, Junye Yang

We reconsider the open XXZ chain of Yang and Fendley. This model possesses a lattice supersymmetry which changes the length of the chain by one site. We perform an algebraic Bethe…

math-ph2016★ 4 cited

Conserved Currents in the Six-Vertex and Trigonometric Solid-On-Solid Models

Yacine Ikhlef, Robert Weston

We construct quasi-local conserved currents in the six-vertex model with anisotropy parameter by making use of the quantum-group approach of Bernard and Felder. From these curr…

math-ph2015★ 2 cited

Theta function solutions of the qKZB equation for a face model

Peter E. Finch, Robert Weston, Paul Zinn-Justin

We consider the quantum Knizhnik-Zamolodchikov-Bernard equation for a face model with elliptic weights, the SOS model. We provide explicit solutions as theta functions. On the so-c…