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Palatini variation in generalized geometry and string effective actions

Publication at Faculty of Mathematics and Physics |
2023

Abstract

We develop the Palatini formalism within the framework of generalized Riemannian geometry of Courant algebroids. In this context, the Palatini variation of a generalized Einstein-Hilbert-Palatini action -formed using a generalized metric, a Courant algebroid connection (in contrary to the ordinary case, not necessarily a torsionless one) and a volume form -leads naturally to a proper notion of a generalized Levi-Civita connection and low-energy effective actions of string theory.& COPY; 2023 Elsevier B.V.

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