Toda Fields on Riemann Surfaces: remarks on the Miura transformation

Abstract

We point out that the Miura transformation is related to a holomorphic foliation in a relative flag manifold over a Riemann Surface. Certain differential operators corresponding to a free field description of $W$--algebras are thus interpreted as partial connections associated to the foliation.

AmsLatex 1.1, 10 pages

References in corpus (4)

• Light Cone $W_n$ Geometry and its Symmetries and Projective Field Theory
• A Krichever--Novikov Formulation of W--Algebras on Riemann Surfaces
• Liouville and Toda field theories on Riemann surfaces
• Free field representation of Toda field theories