Classical \(A_ n\)-W-geometry

DOI10.1007/BF02098302zbMath0770.53020arXivhep-th/9201026OpenAlexW2308995715MaRDI QIDQ1803955

Jean-Loup Gervais, Yutaka Matsuo

Publication date: 29 June 1993

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

Full work available at URL: https://arxiv.org/abs/hep-th/9201026

zbMATH Keywords

Gauss-Bonnet theoremZakharov-Shabat equationsconformal gaugeToda Lax pairchirally embedded

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (17)

Light-cone parametrizations for Kähler manifolds ⋮ IMMERSION ANOMALY OF DIRAC OPERATOR ON SURFACE IN ℝ³ ⋮ Geometry of Higgs and Toda fields on Riemann surfaces ⋮ Lotka-Volterra-type equations and their explicit integration ⋮ A geometrical approach to super \(W\)-induced gravities in two dimensions ⋮ Minimal surfaces in AdS space and integrable systems ⋮ Harmonic maps and periodic Toda systems ⋮ Dynamics of relativistic particles with Lagrangians dependent on acceleration ⋮ \(W_3\)-algebra constructed from the \(\text{SU}(3)\) parafermion ⋮ The many faces of the quantum Liouville exponentials ⋮ Holomorphic curves and Toda systems ⋮ STRINGS AND MEMBRANES FROM EINSTEIN GRAVITY, MATRIX MODELS AND W_∞ GAUGE THEORIES AS PATHS TO QUANTUM GRAVITY ⋮ Generalized Drinfeld-Sokolov reductions and KdV type hierarchies ⋮ ODE/IM correspondence and modified affine Toda field equations ⋮ Heterotic Toda fields. ⋮ Quantum exchange algebra and exact operator solution of \(A_2\)-Toda field theory ⋮ Multidimensional Toda-type systems

Cites Work

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• Symplectic leaves of the Gel'fand-Dikij brackets and homotopy classes of nondegenerate curves
• The quantum group structure associated with non-linearly extended Virasoro algebras
• Lie algebras and equations of Korteweg-de Vries type
• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• Classical \(W\)-algebras
• The quantum strip: Liouville theory for open strings
• PHYSICAL PROPERTIES OF W GRAVITIES AND W STRINGS
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• ZERO CURVATURE CONDITION AND 2D GRAVITY THEORIES

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