The (n,k)-duality and critical points of master functions
The Bethe eigenvectors of the Gaudin model associated with a tensor product of
representations of a Lie algebra are constructed using critical points of the associated
master function.
The (n,k)-duality provides a situation in which the Gaudin model associated
with a tensor product of k representations of n is isomorphic to the Gaudin model
associated with a tensor product of n representations of k. In this situation one
must expect a correspondence between the critical points of the two associated
master functions.
