Supersymmetry Breaking and α′-Corrections to Flux Induced Potentials

2002/04/30 by Katrin Becker, Melanie Becker, Michael Haack +1 · 16 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Compactification (mathematics) #Context (archaeology) #Cosmological constant #Cosmology and Gravitation Theories #Euler's formula #Geometry #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Moduli #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Scalar potential #Supergravity #Supersymmetry #Theoretical physics #Warp drive #hep-th

paper · pdf · doi:10.1088/1126-6708/2002/06/060

published as JHEP 0206:060,2002 · 28 pages, no figures, reference added

openalex publication_date 2002/06/28 · arxiv created 2002/10/03 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We obtain the vacuum solutions for M-theory compactified on eight-manifolds with non-vanishing four-form flux by analyzing the scalar potential appearing in the three-dimensional theory. Many of these vacua are not supersymmetric and yet have a vanishing three-dimensional cosmological constant. We show that in the context of Type IIB compactifications on Calabi-Yau threefolds with fluxes and external brane sources alpha'-corrections generate a correction to the supergravity potential proportional to the Euler number of the internal manifold which spoils the no-scale structure appearing in the classical potential. This indicates that alpha'-corrections may indeed lead to a stabilization of the radial modulus appearing in these compactifications.

Citations

• Supersymmetry and F-theory realization of the deformed conifold with three-form flux
• Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace
• Gluino condensation in superstring models
• The exact quartic effective action for the type IIB superstring
• M-theory compactified on Calabi-Yau fourfolds with background flux
• Supersymmetric three-form flux perturbations onAdS5
• Superstring modifications of Einstein's equations
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
• Supergravity in theory in 11 dimensions

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• Observable chiral gravitational waves from inflation in string theory
• An orientifold with fluxes and branes via T-duality
• Constraints on modular inflation in supergravity and string theory
• A systematic approach to Kähler moduli stabilisation
• Higher derivatives in Type II and M-theory on Calabi-Yau threefolds
• String vacua with flux from freely-acting obifolds
• On chromonatural inflation in string theory
• D-terms on the resolved conifold
• Four Kähler moduli stabilisation in type IIB orientifolds with K3-fibred Calabi-Yau threefold compactification
• Hypermoduli stabilization, flux attractors, and generating functions
• D3/D7 branes at singularities: constraints from global embedding and moduli stabilisation
• Control Issues of KKLT
• Constraints on Kähler moduli inflation from reheating
• A Moduli Fixing Mechanism in M theory
• Loop corrections to volume moduli and inflation in string theory