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      Stringy corrections to Kahler potentials, SUSY breaking, and the cosmological constant problem

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          Abstract

          The moduli of N=1 compactifications of IIB string theory can be stabilized by a combination of fluxes (which freeze complex structure moduli and the dilaton) and nonperturbative superpotentials (which freeze Kahler moduli), typically leading to supersymmetric AdS vacua. We show that stringy corrections to the Kahler potential qualitatively alter the structure of the effective scalar potential even at large volume, and can give rise to non-supersymmetric vacua including metastable de Sitter spacetimes. Our results suggest an approach to solving the cosmological constant problem, so that the scale of the 1-loop corrected cosmological constant can be much smaller than the scale of supersymmetry breaking.

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          Hierarchies from Fluxes in String Compactifications

          Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples involving orientifold compactifications of IIB string theory and F-theory compactifications on Calabi-Yau four-folds. In each case, the hierarchy of scales is fixed by a choice of RR and NS fluxes in the compact manifold. Our solutions involve compactifications of the Klebanov-Strassler gravity dual to a confining N=1 supersymmetric gauge theory,and the hierarchy reflects the small scale of chiral symmetry breaking in the dual gauge theory.
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            de Sitter Vacua in String Theory

            We outline the construction of metastable de Sitter vacua of type IIB string theory. Our starting point is highly warped IIB compactifications with nontrivial NS and RR three-form fluxes. By incorporating known corrections to the superpotential from Euclidean D-brane instantons or gaugino condensation, one can make models with all moduli fixed, yielding a supersymmetric AdS vacuum. Inclusion of a small number of anti-D3 branes in the resulting warped geometry allows one to uplift the AdS minimum and make it a metastable de Sitter ground state. The lifetime of our metastable de Sitter vacua is much greater than the cosmological timescale of 10^10 years. We also prove, under certain conditions, that the lifetime of dS space in string theory will always be shorter than the recurrence time.
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              Does Gravitation Resolve the Ambiguity among Supersymmetric Vacua?

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                Author and article information

                Journal
                06 August 2004
                2005-02-10
                Article
                10.1088/1126-6708/2004/11/085
                hep-th/0408054
                4db2aa93-1621-4f72-a0c3-747fd0d09cd2
                History
                Custom metadata
                UPR-1086-T, UNH-04-06
                JHEP 0411:085,2004
                LaTeX, 2 EPS figures. If you use mpage on a Unix machine to print multiple pages on a single sheet you may experience problems printing the figures. v3: corrections and comments in cosmological constant section
                hep-th

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