Toda fields on Riemann surfaces: remarks on the Miura transformation

DOI10.1007/BF01815519zbMath0862.35114arXivq-alg/9508003OpenAlexW3102210889MaRDI QIDQ2563432

Ettore Aldrovandi

Publication date: 12 December 1996

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9508003

zbMATH Keywords

Riemann surfaces\(W\)-algebrasMiura transformationfoliations

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Vector bundles on curves and their moduli (14H60) Applications of holomorphic fiber spaces to the sciences (32L81) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

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• Classical \(W\)-algebras
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Foliated bundles and characteristic classes
• Liouville and Toda field theories on Riemann surfaces
• Geometry of Higgs and Toda fields on Riemann surfaces
• FREE FIELD REPRESENTATION OF TODA FIELD THEORIES
• Complex Analytic Connections in Fibre Bundles
• Light cone W _n geometry and its symmetries and projective field theory
• COVARIANT sl₂ DECOMPOSITION OF THE sl_n DRINFELD-SOKOLOV EQUATIONS AND THE W_n ALGEBRAS

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