23 citations · 147 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
From spin to anyon notation: The XXZ Heisenberg model as a (or ) anyon chain
Peter E. Finch
We discuss a relationship between certain one-dimensional quantum spin chains and anyon chains. In particular we show how the XXZ Heisenberg chain is realised as a (alterna…
Integrable Hamiltonians with symmetry from the Fateev-Zamolodchikov model
P. E. Finch
A special case of the Fateev-Zamolodchikov model is studied resulting in a solution of the Yang-Baxter equation with two spectral parameters. Integrable models from this solution a…
Integrable boundary conditions for a non-abelian anyon chain with symmetry
K. A. Dancer, P. E. Finch, P. S. Isaac +1
A general formulation of the Boundary Quantum Inverse Scattering Method is given which is applicable in cases where -matrix solutions of the Yang--Baxter equation do not have th…