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arXiv · 1106.4015

A ten-dimensional action for non-geometric fluxes

David Andriot·Magdalena Larfors·Dieter Lust·Peter Patalong
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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 antisymmetric 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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David Andriot, Magdalena Larfors, Dieter Lust, Peter Patalong. 2011-09-29. A ten-dimensional action for non-geometric fluxes. https://doi.org/10.1007/jhep09(2011)134

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