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Small cosmological constants in string theory

  • Regular Article - Theoretical Physics
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  • Published: 20 December 2021
  • Volume 2021, article number 136, (2021)
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Small cosmological constants in string theory
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  • Mehmet Demirtas1,2,
  • Manki Kim1,3,
  • Liam McAllister1,
  • Jakob Moritz  ORCID: orcid.org/0000-0001-8949-80841 &
  • …
  • Andres Rios-Tascon1 

  • 383 Accesses

  • 48 Citations

  • 12 Altmetric

  • 1 Mention

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A preprint version of the article is available at arXiv.

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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Authors and Affiliations

  1. Department of Physics, Cornell University, Ithaca, NY, 14853, USA

    Mehmet Demirtas, Manki Kim, Liam McAllister, Jakob Moritz & Andres Rios-Tascon

  2. Department of Physics, Northeastern University, Boston, MA, 02115, USA

    Mehmet Demirtas

  3. Center for Theoretical Physics, MIT, Cambridge, MA, 02139, USA

    Manki Kim

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Demirtas, M., Kim, M., McAllister, L. et al. Small cosmological constants in string theory. J. High Energ. Phys. 2021, 136 (2021). https://doi.org/10.1007/JHEP12(2021)136

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  • Received: 24 August 2021

  • Accepted: 26 November 2021

  • Published: 20 December 2021

  • DOI: https://doi.org/10.1007/JHEP12(2021)136

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Keywords

  • Flux compactifications
  • Superstring Vacua
  • D-branes
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