Toda Fields on Riemann Surfaces: remarks on the Miura transformation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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AmsLatex 1.1, 10 pages

Scientific paper

10.1007/BF01815519

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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