Speaker
Luke Corcoran
(Trinity College Dublin)
Description
In recent years an indirect approach for classifying solutions to the Yang-Baxter equation has emerged, based on the Sutherland equations and the so-called boost operator. We describe this method, and show how it can be used to classify all regular solutions of size 4$\times$4. Beyond the usual 6- and 8-vertex type solutions, we find several new R-matrices of non-difference form. All of these new R-matrices give rise to transfer matrices with a non-trivial Jordan block spectrum. One of them corresponds to a novel non-diagonalisable deformation of the XXX spin chain.
Primary authors
Luke Corcoran
(Trinity College Dublin)
Marius de Leeuw
(Trinity College Dublin)
