2014/09/14 by Daniël Prins, Dimitrios Tsimpis
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Complex geometry #Complex system #Cosmological model #Cosmology and Gravitation Theories #Field (mathematics) #Geometry and complex manifolds #hep-th
paper · pdf · doi:10.1088/0264-9381/32/7/075004
26 pages. Typos fixed, references added
arxiv created 2014/09/14 · openalex publication_date 2015/03/04 · arxiv updated 2015/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
Pure backgrounds are a natural generalization of supersymmetric Calabi–Yau compactifications in the presence of flux. They are described in the language of generalized structures and generalized complex geometry, and they exhibit some interesting general patterns: the internal manifold is generalized Calabi–Yau, whereas the Ramond–Ramond flux is exact in a precise sense, as discussed in this paper. We have shown that although these two characteristics do persist in the case of generic 10-dimensional Euclidean type II pure backgrounds, they do not capture the full content of supersymmetry. We also discuss the uplift of real Euclidean type IIA pure backgrounds to supersymmetric backgrounds of Lorentzian 11-dimensional supergravity.