41 citations · 46 across the 2 of their papers we have counts for
6 papers · 1 filter
Integrable systems, separation of variables and the Yang-Baxter equation
Paul Ryan
This article, based on the author's PhD thesis, reviews recent advancements in the field of quantum integrability, in particular the separation of variables (SoV) program for high-…
Yang-Baxter and the Boost: splitting the difference
Marius de Leeuw, Chiara Paletta, Anton Pribytok +2
In this paper we continue our classification of regular solutions of the Yang-Baxter equation using the method based on the spin chain boost operator developed in \cite{deLeeuw:201…
Separation of variables for rational gl(n) spin chains in any compact representation, via fusion, embedding morphism and Backlund flow
Paul Ryan, Dmytro Volin
We propose a way to separate variables in a rational integrable spin chain with an arbitrary finite-dimensional irreducible representation at each site and with…
New integrable 1D models of superconductivity
Marius de Leeuw, Anton Pribytok, Ana L. Retore +1
In this paper we find new integrable one-dimensional lattice models of electrons. We classify all such nearest-neighbour integrable models with su(2)xsu(2) symmetry following the p…
Classifying integrable spin-1/2 chains with nearest neighbour interactions
Marius de Leeuw, Anton Pribytok, Paul Ryan
We classify all fundamental integrable spin chains with two-dimensional local Hilbert space which have regular R-matrices of difference form. This means that the R-matrix underlyin…
Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame
Paul Ryan, Dmytro Volin
We propose a basis for rational gl(N) spin chains in an arbitrary rectangular representation that factorises the Bethe vectors into products of Slater determinants in Baxte…