An update on moduli stabilization with antibrane uplift

Abstract

It was recently shown that in warped compactifications based on a Klebanov-Strassler throat there is a light complex structure field, governing the size of the throat and the redshift at its tip. We show that after uplift of the cosmological constant by an anti-D3 brane at the tip of the throat, the contribution to supersymmetry breaking coming from the new light field is large. We work out the mass scales, in particular the condition for this field to be heavier than the Kähler modulus. We check that for the range of parameters relevant for the destabilization we find agreement with de Sitter swampland conjecture. Adding matter fields on distant branes, we discuss the effects on supersymmetry breaking in the observable sector. A hierarchically small scale of supersymmetry breaking translates generically into large values of localized D3 charges in the manifold.

On de Sitter string vacua from anti-d3-branes in the large volume scenario

“…• Runaway complex structure modulus. As mentioned in the introduction, the fact that complex structure moduli give rise to warped throats, that can be used to tune the value of the potential at the minimum, may also destabilise the direction in complex structure moduli space and give rise again to a runaway behaviour [21,22,25]. We will see next that this is a valid issue that needs to be addressed model by model.…”

“…One example of such a condition was recently discovered in [21,22,25]: a runaway may appear if the flux number M (that is F 3 3-form flux along the S 3 at the tip of the throat) is not sufficiently large; they found the bound g s M 2 47. Actually, we stress that the requirement of control over the Klebanov-Strassler approximation of the warped throat, i.e.…”

“…Its contribution to the vacuum energy will be redshifted by the warp factor. The contribution to the energy of the D3-brane is [36] (see also [22,25] for a recent review in the context of dS moduli stabilisation)…”

“…Here [25], with Z the complex structure of the throat, M the 3-form flux, c ≡ 2 1/3 I(0) ≈ 1.75 [21] and S the axio-dilaton. As we will see below, these terms lead to the uplift term [25] V…”

“…On the other hand, in [21,22,25] it was observed that when a long warped throat is generated, the complex structure that deforms the conifold singularity is stabilised at a scale much smaller than the bulk complex structure moduli. In particular both the flux potential for Z and the uplift term scale like ( ζ V ) 4/3 around the minimum, where ζ e…”