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Small cosmological constants in string theory

Authors
  • Demirtas, Mehmet1, 2
  • Kim, Manki1, 3
  • McAllister, Liam1
  • Moritz, Jakob1
  • Rios-Tascon, Andres1
  • 1 Cornell University, Ithaca, NY, 14853, USA , Ithaca (United States)
  • 2 Northeastern University, Boston, MA, 02115, USA , Boston (United States)
  • 3 Center for Theoretical Physics, MIT, Cambridge, MA, 02139, USA , Cambridge (United States)
Type
Published Article
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Publication Date
Dec 20, 2021
Volume
2021
Issue
12
Identifiers
DOI: 10.1007/JHEP12(2021)136
Source
Springer Nature
Keywords
Disciplines
  • Regular Article - Theoretical Physics
License
Green

Abstract

We construct supersymmetric AdS4 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 α′ 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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