Covariant differential operators for densities and KdV equation as a flow on diffeomorphism groups

DOI10.1007/BF00420013zbMath0685.47028WikidataQ115395004 ScholiaQ115395004MaRDI QIDQ1826096

Wolfgang Scherer

Publication date: 1989

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

zbMATH Keywords

KdV equationHill's operatorquantization in string theory

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Geometry and quantization, symplectic methods (81S10) Linear operators on function spaces (general) (47B38)

Related Items (5)

d=2, N=2 superconformally covariant operators and super W-algebras ⋮ Covariant Lax operators and Kac–Moody algebras ⋮ Superconformally covariant operators and super-W-algebras ⋮ Primary currents and Riemannian geometry in W algebras ⋮ Zero curvature conditions and conformal covariance

Cites Work

• Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras
• Nonlinear-Evolution Equations of Physical Significance
• Holomorphic structure of superstring vacua
• Integrals of nonlinear equations of evolution and solitary waves

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