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de Sitter Vacua in String Theory

Shamit Kachru·Renata Kallosh·Andrei Linde·Sandip P. Trivedi
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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 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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Shamit Kachru, Renata Kallosh, Andrei Linde, Sandip P. Trivedi. 2003-02-10. de Sitter Vacua in String Theory. https://doi.org/10.1103/physrevd.68.046005

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