Moduli stabilization and uplifting with dynamically generated F-terms

Abstract

We use the F-term dynamical supersymmetry breaking models with metastable vacua in order to uplift the vacuum energy in the KKLT moduli stabilization scenario. The main advantage compared to earlier proposals is the manifest supersymmetric treatment and the natural coexistence of a TeV gravitino mass with a zero cosmological constant. We argue that it is generically difficult to avoid anti de-Sitter supersymmetric minima, however the tunneling rate from the metastable vacuum with zero vacuum energy towards them can be very suppressed. We briefly comment on the properties of the induced soft terms in the observable sector.

Warping and F-term uplifting

“…Hence the modular weight is 0 too. Expanding in small fields compared to the Planck scale, this gives an additive contribution to the Kähler potential as already obtained in [24] …”

“…For definiteness, we will include an ISS sector [7] for this purpose. In the absence of warping, the coupling to an ISS sector has been studied in [24]. Working at the level of an effective field theory description, we do not attempt to present a full string-theoretic construction of the appearance of an ISS sector in warped compactifications.…”

“…Working at the level of an effective field theory description, we do not attempt to present a full string-theoretic construction of the appearance of an ISS sector in warped compactifications. As in [24], we only extract the ingredients which are necessary at the supergravity level. For more details about the possible string theory constructions, see [25,26,27].…”

Finite temperature behaviour of the ISS-uplifted KKLT model

“…We now couple both sectors in the following way 8) where χ i denote collectively the ISS fields ϕ, ϕ, Φ. As explained in [8], such a decoupling between the two sectors can be achieved by considering systems of D3 and D7 branes.…”

Metastable vacua in brane worlds

“…Recently, there was a renewed interest in metastable vacua from the point of view of supersymmetry breaking [3], with further applications to gauge mediation models [12] and moduli stabilization [13]. The proposal in [3] used the electro-magnetic Seiberg duality to argue for the existence of metastable vacua in the supersymmetric QCD with a number of flavors N c + 1 < N f < 3N c /2.…”