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Current algebra and generalized Cartan geometry

Aug 30, 2024

32 pages

Published in:

Phys.Rev.D 110 (2024) 12, 126022

Published: Dec 15, 2024

e-Print:

2409.00176 [hep-th]

DOI:

10.1103/PhysRevD.110.126022 (publication)

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Abstract: (APS)

This article shows that the approach to generalized curvature and torsion pioneered by Poláček and Siegel [Natural curvature for manifest T-duality, J. High Energy Phys. 01 (2014) 026.] 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.

Note:

32 pages, comments welcome, v2: updated references, version submitted to PRD

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Figures(0)

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