O3/O7 Orientifold Truncations and Very Special Quaternionic-Kaehler Geometry

Abstract

We study the orientifold truncation that arises when compactifying type II string theory on Calabi-Yau orientifolds with O3/O7-planes, in the context of supergravity. We look at the N=2 to N=1 reduction of the hypermultiplet sector of N=2 supergravity under the truncation, for the case of very special quaternionic-Kaehler target space geometry. We explicitly verify the Kaehler structure of the truncated spaces, and we study the truncated isometry algebra. For symmetric special quaternionic spaces, we give a complete overview of the spaces one finds after truncation. We also find new examples of dual Kaehler spaces, that give rise to flat potentials in N=1 supergravity.

25 pages, LaTeX, v2:curvature tensor of the dual symmetric spaces calculated, section 7 expanded, references added, v3:few typos fixed, version to appear in Class.Quantum Gravity

References in corpus (9)

• Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
• Symmetry structure of special geometries
• Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces
• Soft Supersymmetry Breaking in Calabi-Yau Orientifolds with D-branes and Fluxes
• Special geometry, cubic polynomials and homogeneous quaternionic spaces
• Compactification of Type IIB String Theory on Calabi-Yau Threefolds
• Supersymmetry reduction of N-extended supergravities in four dimensions
• Consistent reduction of N=2 -> N=1 four dimensional supergravity coupled to matter
• c--Map,very Special Quaternionic Geometry and Dual Kahler Spaces

Cited by in corpus (13)

• The effective action of Type IIA Calabi-Yau orientifolds
• Improved approximate inspirals of test-bodies into Kerr black holes
• Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime
• The effective action of type II Calabi-Yau orientifolds
• Non-Perturbative Corrections and Modularity in N=1 Type IIB Compactifications
• Hawking's singularity theorem for $C^{1,1}$-metrics
• Tits-Satake projections of homogeneous special geometries
• Dynamics of test particles in thin-shell wormhole spacetimes
• Genericity of blackhole formation in the gravitational collapse of homogeneous self-interacting scalar fields
• Axion Stabilization in Type IIB Flux Compactifications
• Quaternionic Quantization Principle in General Relativity and Supergravity
• Cosmic censorship in Lovelock theory
• Dimensional dependence of naked singularity formation in spherical gravitational collapse