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arXiv · 1304.2784

The Intriguing Structure of Non-geometric Frames in String Theory

Ralph Blumenhagen·Andreas Deser·Erik Plauschinn·Felix Rennecke·Christian Schmid
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Abstract

Non-geometric frames in string theory are related to the geometric ones by certain local O(D,D) transformations, the so-called $β$-transforms. For each such transformation, we show that there exists both a natural field redefinition of the metric and the Kalb-Ramond two-form as well as an associated Lie algebroid. We furthermore prove that the all-order low-energy effective action of the superstring, written in terms of the redefined fields, can be expressed through differential-geometric objects of the corresponding Lie algebroid. Thus, the latter provides a natural framework for effective superstring actions in non-geometric frames. Relations of this new formalism to double field theory and to the description of non-geometric backgrounds such as T-folds are discussed as well.

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Ralph Blumenhagen, Andreas Deser, Erik Plauschinn, Felix Rennecke, Christian Schmid. 2013-04-19. The Intriguing Structure of Non-geometric Frames in String Theory. https://doi.org/10.1002/prop.201300013

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