76 citations · 159 across the 3 of their papers we have counts for
7 papers
Affine quantum groups
G. W. Delius, N. J. MacKay
Affine quantum groups are certain pseudo-quasitriangular Hopf algebras that arise in mathematical physics in the context of integrable quantum field theory, integrable quantum spin…
Rational K-matrices and representations of twisted Yangians
N. J. MacKay
We describe the twisted Yangians Y(g,h) which arise as boundary remnants of Yangians Y(g) in 1+1D integrable field theories. We describe and extend our recent construction of the i…
Boundary remnant of Yangian symmetry and the structure of rational reflection matrices
G. W. Delius, N. J. MacKay, B. J. Short
For the classical principal chiral model with boundary, we give the subset of the Yangian charges which remains conserved under certain integrable boundary conditions, and extract…
Boundary scattering, symmetric spaces and the principal chiral model on the half-line
N. J. MacKay, B. J. Short
We investigate integrable boundary conditions (BCs) for the principal chiral model on the half-line, and rational solutions of the boundary Yang-Baxter equation (BYBE). In each cas…
The SO(N) principal chiral field on a half-line
N. J. MacKay
We investigate the integrability of the SO(N) principal chiral model on a half-line, and find that mixed Dirichlet/Neumann boundary conditions (as well as pure Dirichlet or Neumann…
Local conserved charges in principal chiral models
J. M. Evans, M. Hassan, N. J. MacKay +1
Local conserved charges in principal chiral models in 1+1 dimensions are investigated. There is a classically conserved local charge for each totally symmetric invariant tensor of…