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Current Algebras, the Sugawara Model, and Differential Geometry

Name: Current Algebras, the Sugawara Model, and Differential Geometry
Creator: Robert Hermann
Keywords: 0103 physical sciences, 0101 mathematics, 01 natural sciences, symmetries in microphysics

Current algebras, the Sugawara model, and differential geometry

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1970Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 11, pages 1,825-1,829 (issn: 0022-2488, eissn: 1089-7658,

Authors: Robert Hermann;

doi: 10.1063/1.1665331

Current Algebras, the Sugawara Model, and Differential Geometry

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Abstract

The Lie algebra defined by the currents in the Sugawara model is defined in a way that is natural from the point of view of Lie transformation theory and differential geometry. Previous remarks that the Sugawara model is associated with a field-theoretical dynamical system on a Lie group manifold are made more precise and presented in a differential geometric setting.

Related Organizations

Rockefeller University
United States

Keywords

symmetries in microphysics

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