Abstract
We construct purely non-perturbative anti-de Sitter vacua in string theory which, on uplifting to a de Sitter (dS) one, have a decay time many orders of magnitude smaller than those of standard constructions, such as the KKLT and LVS scenarios. By virtue of being constructed purely from non-perturbative terms, these vacua avoids certain obstructions plaguing other constructions of dS in string theory. This results in a new class of phenomenological dS vacua in string theory with novel distinctive characteristics such as having two maxima. After examining whether these uplifted dS vacua obey the TCC, we revisit some old problems of realization of dS space as a vacuum. We find that not only is it phenomenologically hard to construct TCC-compatible vacua, but also inherent temporal dependences of the degrees of freedom generically arise in such constructions, amongst other issues. This reinforces the idea that dS, if it exists in string theory, should be a Glauber-Sudarshan state and not a vacuum.
Highlights
Based on early works on trans-Plackian issues in a de Sitter (dS) inflationary cosmology [21], the trans-Planckian censorship conjecture (TCC) [22] was proposed as a swampland criterion [23] and was shown to be connected with other swampland conjectures [24]
The motivation for this work was to construct a 4-dimensional de Sitter space within string theory which is compatible with the so-called swampland conjectures
Since it is well-known that the standard KKLT scenario has lifetimes which far exceed the bound set by the TCC, our aim was to incorporate other stringy ingredients such that we end up with short-lived dS vacua obeying the TCC bound
Summary
We will revisit and generalize the KL model in order to get two AdS minima with only non-perturbative terms in the superpotential. The idea behind the KKLT scenario was to look for a supersymmetric AdS vacuum once non-perturbative corrections were taken into account, which was uplifted to a dS minima by adding a positive energy density from D3 branes This model was soon generalized to have more than one minimum which does not occur at large (negative) values of the effective potential. We do not have susy breaking terms even before adding in the non-perturbative contributions, thereby side-stepping the obstructions mentioned in [39] Having taken this detour to explain why we are interested in taking W0 = 0, let us return to our calculation. As discussed the lifetime of the uplifted dS vacuum depends only on the values of the minima prior to the uplift
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