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Torsion-Free Generalized Connections and Heterotic Supergravity

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Abstract

This work revisits the notions of connection and curvature in generalized geometry, with emphasis on torsion-free generalized connections on a transitive Courant algebroid. As an application, we provide a mathematical derivation of the equations of motion of heterotic supergravity in terms of the Ricci tensor of a generalized metric, inspired by the work of Coimbra, Strickland-Constable and Waldram.

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Authors and Affiliations

  1. Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), Nicolás Cabrera 13–15, Cantoblanco, 28049, Madrid, Spain

    Mario Garcia-Fernandez

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  1. Mario Garcia-Fernandez
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Correspondence to Mario Garcia-Fernandez.

Additional information

Communicated by H.-T. Yau

The author is partially supported by ICMAT Severo Ochoa project SEV-2011-0087. The initial work was supported by QGM (Centre for Quantum Geometry of Moduli Spaces), funded by the Danish National Research Foundation. Subsequent support was provided by EPFL (École Polytechnique Fédéral de Lausanne).

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Garcia-Fernandez, M. Torsion-Free Generalized Connections and Heterotic Supergravity. Commun. Math. Phys. 332, 89–115 (2014). https://doi.org/10.1007/s00220-014-2143-5

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