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Toda fields on riemann surfaces: Remarks on the Miura transformation

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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 ofW-algebras are thus interpreted as partial connections associated to the foliation.

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Supported by Consiglio Nazionale delle Ricerche, CNR-NATO grant.

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Aldrovandi, E. Toda fields on riemann surfaces: Remarks on the Miura transformation. Lett Math Phys 38, 365–375 (1996). https://doi.org/10.1007/BF01815519

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