Current algebra and generalized Cartan geometry
Year: 2024
Type: article
Abstract: This article shows that the approach to generalized curvature and torsion pioneered by Poláček and Siegel [Natural curvature for manifest T-duality, .] is a generalization of Cartan geometry—rendering latter natural from the point of view of O ( d , d ) -generalized geometry. We present this approach in the generalized metric formalism and show that almost all parts of the additional higher generalized tensors appearing in this approach correspond to covariant derivatives of the generalized Riemann tensor. As an application, we use this framework to phrase σ -model dynamics in an explicitly covariant way—both under generalized diffeomorphisms and local gauge transformations. Published by the American Physical Society 2024
Authors: Falk Haßler, Ondřej Hulík, David Osten
Institutions: University of Wrocław, Heidelberg University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4405636722