Abstract
According to the KKLT scenario, metastable dS vacua are formed as a result of uplifting of supersymmetric AdS vacua by overline{D3} branes. I describe an extended version of this scenario where supersymmetric AdS vacua do not exist, and metastable dS vacua appear after an uplift from a state where the potential of the volume modulus in the absence of overline{D3} branes would be unbounded below. This mechanism may considerably strengthen vacuum stabilization in the early universe.
Highlights
JHEP05(2020)076 we will show that the stabilized volume modulus T in this model always remains greater than a−1 = 2Nπ, even for very large W0
I describe an extended version of this scenario where supersymmetric AdS vacua do not exist, and metastable dS vacua appear after an uplift from a state where the potential of the volume modulus in the absence of D3 branes would be unbounded below
In this paper we have shown that the existence of a supersymmetric AdS vacuum is not a necessary precondition for the existence of stable dS vacua in the KKLT scenario
Summary
In this case, the state θ = 0 is stable with respect to growth of perturbations of the field θ for W0 > 0. The potential at T = t prior to the uplifting, i.e. for μ = 0, is given by aAe−2at at. One finds that any minimum of the potential prior to the uplifting automatically satisfies the condition DW = 0, i.e. it is supersymmetric. The potential at the minimum is negative, VAdS = − a2A2 e−2at , 6t (2.5). It is a stable supersymmetric AdS minimum, which is the standard part of the KKLT construction. In the KKLT scenario all minima that we can uplift are supersymmetric AdS. Do we really need to have a stable minimum prior to the uplifting? Do we really need to have a stable minimum prior to the uplifting? Naively, the answer is yes, we must have it, because otherwise what exactly are we going to uplift? let us see whether one can relax this requirement
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