148 citations · 601 across the 27 of their papers we have counts for
27 papers
Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry
Allan Gerrard, Niall MacKay, Vidas Regelskis
We present a nested algebraic Bethe ansatz for a one dimensional open spin chain whose boundary quantum spaces are irreducible - or -represe…
How to fold a spin chain: Integrable boundaries of the Heisenberg XXX and Inozemtsev hyperbolic models
Alejandro De La Rosa Gomez, Niall MacKay, Vidas Regelskis
We present a general method of folding an integrable spin chain, defined on a line, to obtain an integrable open spin chain, defined on a half-line. We illustrate our method throug…
Kepler unbound: some elegant curiosities of classical mechanics
Niall J. MacKay, Sam Salour
We describe two exotic systems of classical mechanics: the McIntosh-Cisneros-Zwanziger ('MICZ') Kepler system, of motion of a charged particle in the presence of a modified dyon; a…
Twisted Yangian symmetry of the open Hubbard model
Alejandro De La Rosa Gomez, Niall J. MacKay
We show that, in the open Hubbard model with integrable boundary conditions, the bulk Yangian symmetry is broken to a twisted Yangian. We prove that the associated charges commute…
Achiral boundaries and the twisted Yangian of the D5-brane
Niall MacKay, Vidas Regelskis
We consider integrable field theories with achiral boundary conditions and uncover the underlying achiral twisted Yangian algebra. This construction arises from old work on the bos…
Reflection algebra, Yangian symmetry and bound-states in AdS/CFT
Niall MacKay, Vidas Regelskis
We present the `Heisenberg picture' of the reflection algebra by explicitly constructing the boundary Yangian symmetry of an AdS/CFT superstring which ends on a boundary with non-t…