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A ten-dimensional action for non-geometric fluxes

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Abstract

The NSNS Lagrangian of ten-dimensional supergravity is rewritten via a change of field variables inspired by Generalized Complex Geometry. We obtain a new metric and dilaton, together with an anti symmetric bivector field which leads to a ten-dimensional version of the non-geometric Q-flux. Given the involved global aspects of non-geometric situations, we prescribe to use this new Lagrangian, whose associated action is well-defined in some examples investigated here. This allows us to perform a standard dimensional reduction and to recover the usual contribution of the Q-flux to the four-dimensional scalar potential. An extension of this work to include the R-flux is discussed. The paper also contains a brief review on non-geometry.

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Authors and Affiliations

  1. Arnold-Sommerfeld-Center for Theoretical Physics, Department für Physik, Ludwig-Maximilians-Universität München, Theresienstraße 37, 80333, München, Germany

    David Andriot, Magdalena Larfors, Dieter Lüst & Peter Patalong

  2. Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, München, Germany

    Dieter Lüst & Peter Patalong

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  1. David Andriot
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  2. Magdalena Larfors
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  3. Dieter Lüst
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  4. Peter Patalong
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Correspondence to Magdalena Larfors.

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Andriot, D., Larfors, M., Lüst, D. et al. A ten-dimensional action for non-geometric fluxes. J. High Energ. Phys. 2011, 134 (2011). https://doi.org/10.1007/JHEP09(2011)134

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