Generalized complex geometry of pure backgrounds in ten and eleven dimensions
arXiv:1409.2870 · doi:10.1088/0264-9381/32/7/075004
Abstract
Pure backgrounds are a natural generalization of supersymmetric Calabi-Yau compactifications in the presence of flux. They are described in the language of generalized SU(d) x SU(d) structures and generalized complex geometry, and they exhibit some interesting general patterns: the internal manifold is generalized Calabi-Yau, while the Ramond-Ramond flux is exact in a precise sense discussed in this paper. We have shown that although these two characteristics do persist in the case of generic ten-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 eleven-dimensional supergravity.
arXiv comment26 pages. Typos fixed, references added
References in corpus (17)
- Superstrings with Intrinsic Torsion
- Supergravity as Generalised Geometry I: Type II Theories
- Kappa-Symmetry, Supersymmetry and Intersecting Branes
- Double Field Theory of Type II Strings
- Unification of Type II Strings and T-duality
- Lectures on Generalized Complex Geometry for Physicists
- Reformulating Supersymmetry with a Generalized Dolbeault Operator
- NS-branes, source corrected Bianchi identities, and more on backgrounds with non-geometric fluxes
- On BPS preons, generalized holonomies and D=11 supergravities
- A note on simple applications of the Killing Spinor Identities
- Generalized structures of ten-dimensional supersymmetric solutions
- Generalized geometry, calibrations and supersymmetry in diverse dimensions
- Electrified branes
- IIB supergravity on manifolds with SU(4) structure and generalized geometry
- Emergent Time and the M5-Brane
- Generalized geometry of two-dimensional vacua
- Generalized curvature and the equations of D=11 supergravity