https://doi.org/10.1140/epjp/s13360-024-05248-2
Regular Article
Scale hierarchies near the conifold
Departamento de Física, Universidad de Guanajuato, Loma del Bosque 103, 37150, León, Guanajuato, Mexico
Received:
1
February
2024
Accepted:
6
May
2024
Published online:
7
June
2024
We study the axio-dilaton and complex structure stabilization for a generic one-parameter Calabi–Yau (CY) compactification. We focus on near the conifold regions and consider an strongly warped metric. We analyze numerically the case of the mirror of the quintic CY. The axio-dilaton 
and complex structure z moduli are stabilized simultaneously comparing with the previous results, showing that generically z is heavier than , and the axio-dilaton cannot be fixed first. This is also the case when we add the warping correction to the potential; and in general, this inclusion does not destabilize the moduli. We point out why in this setup non-supersymmetric vacua are much more dense than supersymmetric vacua. We study the dependence of the vacua stabilization by addition of an 
-brane, for a fixed volume. The vacuum state masses have divergent eigenvalues near the conifold singularity that gets softener by the warping correction. Generically, the considered contributions allow to find stable vacua in this setup. The scale hierarchy between 6D and 4D; arising from the warping, as stated by Giddings Kachru and Polchinski (GKP), is preserved; while the masses in the vacua acquire physically reasonable values.
Oscar Loaiza-Brito and Yessenia Olguín-Trejo have contributed equally to this work.
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