The Drinfeld-Sokolov holomorphic bundle and classical \(W\) algebras on Riemann surfaces

DOI10.1016/0393-0440(94)00028-3zbMath0824.32009arXivhep-th/9403036OpenAlexW3102766536MaRDI QIDQ1893850

Roberto Zucchini

Publication date: 12 November 1995

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9403036

zbMATH Keywords

Riemann surfaces\(W\) algebraDrinfeld-Sokolov holomorphic bundle

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of holomorphic fiber spaces to the sciences (32L81) Holomorphic bundles and generalizations (32L05)

Related Items (3)

Noncommutative coordinates on Riemann surfaces ⋮ From the Hitchin section to opers through nonabelian Hodge ⋮ Primary currents and Riemannian geometry in W algebras

Cites Work

• Two-dimensional exactly and completely integrable dynamical systems
• Central extensions and semi-infinite wedge representations of Krichever- Novikov algebras for more than two points
• Lie algebras and equations of Korteweg-de Vries type
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• Generalized Toda theories and \(\mathcal W\)-algebras associated with integral gradings
• A global operator formalism on higher genus Riemann surfaces: \(b\)-\(c\) systems
• Liouville and Toda field theories on Riemann surfaces
• Global Laurent expansions on Riemann surfaces
• Covariant \(W\) gravity and its moduli space from gauge theory
• Toda theory and \({\mathcal W}\)-algebra from a gauged WZNW point of view
• Bases on multipunctured Riemann surfaces and interacting strings amplitudes
• Semisimple subalgebras of semisimple Lie algebras
• Light cone W _n geometry and its symmetries and projective field theory
• CONFORMALLY COVARIANT OPERATORS ON RIEMANN SURFACES (WITH APPLICATIONS TO CONFORMAL AND INTEGRABLE MODELS)
• Deformation theory of holomorphic vector bundles, extended conformal symmetry and extensions of 2D gravity
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