10 Feb 2003 | Shamit Kachru,1,2 Renata Kallosh,1 Andrei Linde1 and Sandip P. Trivedi3
The paper outlines the construction of metastable de Sitter (dS) vacua in type IIB string theory. The authors start with highly warped compactifications of IIB string theory, incorporating nontrivial NS and RR three-form fluxes. By incorporating corrections to the superpotential from Euclidean D-brane instantons or gaugino condensation, they can fix all moduli, leading to a supersymmetric AdS vacuum. The inclusion of a small number of anti-D3 branes in the warped geometry allows the AdS minimum to be uplifted to a metastable dS ground state. The lifetime of these metastable dS vacua is much greater than the cosmological timescale of \(10^{10}\) years. The authors also prove that the lifetime of dS space in string theory is always shorter than the recurrence time. The paper discusses the construction of dS vacua in detail, including the role of flux compactifications, quantum corrections, and the stabilization of moduli. They demonstrate that by tuning the fluxes and the number of anti-D3 branes, one can achieve metastable dS vacua with tunable cosmological constants. The stability of these vacua is analyzed using tunneling theory, showing that the decay time is exponentially smaller than the recurrence time, ensuring the metastability of the dS vacuum.The paper outlines the construction of metastable de Sitter (dS) vacua in type IIB string theory. The authors start with highly warped compactifications of IIB string theory, incorporating nontrivial NS and RR three-form fluxes. By incorporating corrections to the superpotential from Euclidean D-brane instantons or gaugino condensation, they can fix all moduli, leading to a supersymmetric AdS vacuum. The inclusion of a small number of anti-D3 branes in the warped geometry allows the AdS minimum to be uplifted to a metastable dS ground state. The lifetime of these metastable dS vacua is much greater than the cosmological timescale of \(10^{10}\) years. The authors also prove that the lifetime of dS space in string theory is always shorter than the recurrence time. The paper discusses the construction of dS vacua in detail, including the role of flux compactifications, quantum corrections, and the stabilization of moduli. They demonstrate that by tuning the fluxes and the number of anti-D3 branes, one can achieve metastable dS vacua with tunable cosmological constants. The stability of these vacua is analyzed using tunneling theory, showing that the decay time is exponentially smaller than the recurrence time, ensuring the metastability of the dS vacuum.