Generalised geometry and flux vacua

DOI10.1002/PROP.201500082zbMATH Open1339.81076arXiv1511.04595OpenAlexW3121983174MaRDI QIDQ2815158

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Publication date: 27 June 2016

Published in: (Search for Journal in Brave)

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 $mathcalN=1$ 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.

Full work available at URL: https://arxiv.org/abs/1511.04595

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