Generalised geometry and flux vacua: A very short review. Issue 4 (9th March 2016)

• Record Type: Journal Article
• Authors: Larfors, Magdalena
• Other Names: Argurio Riccardo guestEditor.; Bobev Nikolay guestEditor.; Boulanger Nicolas guestEditor.; Craps Ben guestEditor.; Henneaux Marc guestEditor.; Hertog Thomas guestEditor.; Sevrin Alex guestEditor.; Van Proeyen Antoine guestEditor.; Van Riet Thomas guestEditor.
• Is Part Of: Fortschritte der Physik. Volume 64:Issue 4/5(2016)
• Page Start: 354
• Page End: 360
• Publication Date: 2016-03-09
• Subjects: Generalised geometry -- string compactification -- flux; Physics -- Periodicals; 530.05
• DOI: 10.1002/prop.201500082
• Languages: English
• ISSNs: 0015-8208

Abstract

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 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.