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Small Cosmological Constants in String Theory

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arxiv 2107.09064 v3 pith:UWE55VJW submitted 2021-07-19 hep-th

Mehmet Demirtas , Manki Kim , Liam McAllister , Jakob Moritz , Andres Rios-Tascon This is my paper
classification hep-th
keywords compactificationsstringvacuaconstantscosmologicalfindlengthorientifolds
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We construct supersymmetric $\mathrm{AdS}_4$ vacua of type IIB string theory in compactifications on orientifolds of Calabi-Yau threefold hypersurfaces. We first find explicit orientifolds and quantized fluxes for which the superpotential takes the form proposed by Kachru, Kallosh, Linde, and Trivedi. Given very mild assumptions on the numerical values of the Pfaffians, these compactifications admit vacua in which all moduli are stabilized at weak string coupling. By computing high-degree Gopakumar-Vafa invariants we give strong evidence that the $\alpha'$ expansion is likewise well-controlled. We find extremely small cosmological constants, with magnitude $ < 10^{-123}$ in Planck units. The compactifications are large, but not exponentially so, and hence these vacua manifest hierarchical scale-separation, with the AdS length exceeding the Kaluza-Klein length by a factor of a googol.

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Cited by 5 Pith papers

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