Zero curvature conditions and conformal covariance

DOI10.1063/1.530224zbMath0781.53058OpenAlexW2074820782MaRDI QIDQ4201692

Gernot Akemann, Richard Grimm

Publication date: 5 September 1993

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

Full work available at URL: http://bura.brunel.ac.uk/handle/2438/488

zbMATH Keywords

projective connectionKostant decompositioncovariant higher order differential operators

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05)

Related Items

Bäcklund transformations and zero-curvature representations of systems of partial differential equations, 𝒲-gauge structures and their anomalies: An algebraic approach, Becchi–Rouet–Stora cohomology of zero curvature systems. I. The complete ladder case

Cites Work

• Left-right decomposition of two-dimensional superspace geometry and its BRS structure
• Two-dimensional exactly and completely integrable dynamical systems
• Lie algebras and equations of Korteweg-de Vries type
• Classical \(W\)-algebras
• Generalized Toda theories and \(\mathcal W\)-algebras associated with integral gradings
• Super-Toda theories and W-algebras from superspace Wess-Zumino-Witten models
• Covariant differential operators for densities and KdV equation as a flow on diffeomorphism groups
• Toda theory and \({\mathcal W}\)-algebra from a gauged WZNW point of view
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Bäcklund transformation and the Painlevé property