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de Sitter vacua in string theory

2003/01/29 by Shamit Kachru, Renata Kallosh, Рената Каллош +2 · 2 voices · 3,370 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #F-theory #Geometry #Instanton #Mathematical physics #Mathematics #Metastability #Moduli space #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #String (physics) #String theory #Superpotential #Supersymmetry #Theoretical physics #Universe #astro-ph #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.68.046005

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 68(4) (American Physical Society) · 12 pages, 2 figs, added comments on the thin wall approximation to tunneling

arxiv created 2003/02/10 · openalex publication_date 2003/08/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

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 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 time scale of 1010yr. 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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