Generalised Geometry and Flux Vacua

Magdalena Larfors

doi:10.1002/prop.201500082

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arXiv · 1511.04595

Generalised Geometry and Flux Vacua

Magdalena Larfors

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Abstract

This note discusses the connection between generalised geometry and flux compactifications of string theory. Firstly, we explain in a pedestrian manner how the supersymmetry constraints of type II ${\mathcal{N}}=1$ flux compactifications can be restated as integrability constraints on certain generalised complex structures. This reformulation uses generalised complex geometry, a mathematical framework that geometrizes the B-field. Secondly, we discuss how exceptional generalised geometry may provide a similar geometrization of the RR fields. Thirdly, we examine the connection between generalised geometry and non-geometry, and finally we present recent developments where generalised geometry is used to construct explicit examples of flux compactifications to flat space.

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Magdalena Larfors. 2015-11-23. Generalised Geometry and Flux Vacua. https://doi.org/10.1002/prop.201500082

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