Small cosmological constants in string theory

Journal of High Energy Physics

Liam McAllister¹  Jakob Moritz¹  Andres Rios-Tascon¹  Manki Kim²  Mehmet Demirtas³ 

[1] Department of Physics, Cornell University, 14853, Ithaca, NY, USA;Department of Physics, Cornell University, 14853, Ithaca, NY, USA;Center for Theoretical Physics, MIT, 02139, Cambridge, MA, USA;Department of Physics, Cornell University, 14853, Ithaca, NY, USA;Department of Physics, Northeastern University, 02115, Boston, MA, USA;

关键词: Flux compactifications;    Superstring Vacua;    D-branes;   

DOI  :  10.1007/JHEP12(2021)136

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY