Toda Fields on Riemann Surfaces: remarks on the Miura transformation
classification
q-alg
hep-thmath.QA
keywords
foliationmiurariemanntransformationalgebrasassociatedcertainconnections
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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.
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