Scale hierarchies near the conifold
Nana Cabo Bizet, Oscar Loaiza-Brito, Yessenia Olgu\'in-Trejo

TL;DR
This paper investigates the stabilization of axio-dilaton and complex structure moduli near the conifold in a warped Calabi-Yau compactification, revealing hierarchical mass scales and the density of non-supersymmetric vacua.
Contribution
It provides a detailed numerical analysis of moduli stabilization near the conifold, including warping effects, and compares the stability of supersymmetric and non-supersymmetric vacua.
Findings
z moduli are generally heavier than τ moduli
Warping corrections do not destabilize the vacua
Non-supersymmetric vacua are more densely populated than supersymmetric ones
Abstract
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 a strongly warped metric. We analyze numerically the case of the mirror of the quintic CY. The axio-dilaton and complex structure moduli are stabilized simultaneously comparing with previous results, showing that generically is heavier than , and the axio-dilaton can not 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…
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Cosmology and Gravitation Theories
