19 research outputs found
Yangians, Integrable Quantum Systems and Dorey's rule
We study tensor products of fundamental representations of Yangians and show
that the fundamental quotients of such tensor products are given by Dorey's
rule.Comment: We have made corrections to the results for the Yangians associated
to the non--simply laced algebra
Reducible connections and non-local symmetries of the self-dual Yang-Mills equations
We construct the most general reducible connection that satisfies the
self-dual Yang-Mills equations on a simply connected, open subset of flat
. We show how all such connections lie in the orbit of the flat
connection on under the action of non-local symmetries of the
self-dual Yang-Mills equations. Such connections fit naturally inside a larger
class of solutions to the self-dual Yang-Mills equations that are analogous to
harmonic maps of finite type.Comment: AMSLatex, 15 pages, no figures. Corrected in line with the referee's
comments. In particular, restriction to simply-connected open sets now
explicitly stated. Version to appear in Communications in Mathematical
Physic