39 citations · 159 across the 13 of their papers we have counts for
13 papers
Trialities and Exceptional Lie Algebras: DECONSTRUCTING the Magic Square
Jonathan M. Evans
A construction of the magic square, and hence of exceptional Lie algebras, is carried out using trialities rather than division algebras. By way of preparation, a comprehensive dis…
From PCM to KDV and Back
Jonathan M. Evans
This is a summary of progress made in understanding the occurrence and properties of local, conserved, commuting charges in non-linear sigma-models, including principal chiral mode…
Integrable Sigma-models and Drinfeld-Sokolov Hierarchies
Jonathan M. Evans
Local commuting charges in sigma-models with classical Lie groups as target manifolds are shown to be related to the conserved quantities appearing in the Drinfeld-Sokolov (general…
Quantum Integrability of Coupled N=1 Super Sine/Sinh-Gordon Theories and the Lie Superalgebra D(2,1;\A)
Jonathan M. Evans, Jens Ole Madsen
We discuss certain integrable quantum field theories in (1+1)-dimensions consisting of coupled sine/sinh-Gordon theories with N=1 supersymmetry, positive kinetic energy, and bosoni…
Dynkin Diagrams and Integrable Models Based on Lie Superalgebras
Jonathan M. Evans, Jens Ole Madsen
An analysis is given of the structure of a general two-dimensional Toda field theory involving bosons and fermions which is defined in terms of a set of simple roots for a Lie supe…
Exact Scattering in the SU(n) Supersymmetric Principal Chiral Model
Jonathan M. Evans, Timothy J. Hollowood
The complete spectrum of states in the supersymmetric principal chiral model based on SU(n) is conjectured, and an exact factorizable S-matrix is proposed to describe scattering am…