Drinfeld-Sokolov gravity

DOI10.1007/BF02101286zbMath0872.17024arXivhep-th/9508054OpenAlexW3099897736MaRDI QIDQ679386

Roberto Zucchini

Publication date: 15 October 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9508054

zbMATH Keywords

compact Riemann surfaceconformal invariance\(W\)-algebrasgauge fixingDrinfeld-Sokolov reductionDrinfeld-Sokolov bundleDrinfeld-Sokolov field theoryDrinfeld-Sokolov ghost systemlagrangian euclidean model

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Vector bundles on curves and their moduli (14H60)

Cites Work

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• Hidden SL(n) symmetry in conformal field theories
• Lie algebras and equations of Korteweg-de Vries type
• \(W\)-algebras for generalized Toda theories
• Generalized Toda theories and \(\mathcal W\)-algebras associated with integral gradings
• Lie groups and Teichmüller space
• Liouville and Toda field theories on Riemann surfaces
• Extrinsic Hermitian geometry of functional determinants for vector subbundles and the Drinfeld-Sokolov ghost system
• Light cone W _n geometry and its symmetries and projective field theory
• Deformation theory of holomorphic vector bundles, extended conformal symmetry and extensions of 2D gravity

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