Generalized N=1 orientifold compactifications and the Hitchin functionals
By Iman Benmachiche, Thomas W. Grimm. 2006
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Abstract The four-dimensional N = 1 supergravity theories arising in compactifications of type IIA and type IIB on generalized orientifold backgrounds with background fluxes are discussed. The Kahler potentials are derived for reductions on SU ( 3 ) structure orientifolds and shown to consist of the logarithm of the two Hitchin functionals. These are functions of even and odd forms parameterizing the geometry of the internal manifold, the B-field and the dilaton. The superpotentials induced by background fluxes and the non-Calabi–Yau geometry are determined by a reduction of the type IIA and type IIB fermionic actions on SU ( 3 ) and generalized SU ( 3 ) × SU ( 3 ) manifolds. Mirror spaces of Calabi–Yau orientifolds with electric and part of the magnetic NS–NS fluxes are conjectured to be certain SU ( 3 ) × SU ( 3 ) structure manifolds. Evidence for this identification is provided by comparing the generalized type IIA and type IIB superpotentials.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/ffc72a0d7731ed1019ca0861fe094e48548b64df
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Citations in the corpus
- The Swampland: Introduction and Review (2019, background): “Indeed, the general superpotential for a manifold with curvature that still has SU(3) structure was derived in [198,206–210] and reads”
- Supersymmetric sources, integrability and generalized-structure compactifications (2007, methodology): “In this paper we will derive and confirm the conditions of [ 24 ] from a world-sheet perspective, as was done earlier for the Calabi-Yau case in [25].”
- From ten to four and back again: how to generalize the geometry (2007, methodology): “requires the introduction of orientifolds, which have been studied in this setting in [ 15 , 34, 35].”
- Generalized flux vacua (2006, unknown): “Discussion of the two-fold T -dual of H-flux in the context of Calabi-Yau compactification can be found in [25].”
- A ten-dimensional action for non-geometric fluxes (2011, background): “For a geometric compactification on a background admitting an SU(3)×SU(3) structure, the four-dimensional superpotential can be written in terms of an integral over GCG objects [65, 66, 67].”
- The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets (2008, methodology): “The superpotential for SU(3)× SU(3)-structure was derived in various ways in [3 0, 31, 32] (based on [55, 29]).”
- Lectures on nongeometric flux compactifications (2007, unknown): “Additionally, there has been much recent work on generalized geometries [12], which were pioneered in the work of Hitchin [13].”
- Axion inflation in type II string theory (2007, methodology): “Nevertheless, one can derive the Kähler metric by using the underlying N = 2 special geometry [42] or the work of Hitchin [60] as done in [61].”