Abstract
It is challenging to construct explicit and controllable models that realize de Sitter solutions in string compactifications. This difficulty is the main motivation for the refined de Sitter conjecture and the trans-Planckian censorship conjecture which forbid stable de Sitter solutions but allow metastable, unstable and rolling solutions in a theory consistent with quantum gravity. Inspired by this, we first study a toy de Sitter no-scale supergravity model and show that for particular choices of parameters it can be consistent with the refined de Sitter conjecture and the trans-Planckian censorship conjecture. Then we modify the model by adding rolling dynamics and show that the theory can become stable along the imaginary direction, where it would otherwise be unstable. We extend the model to multifield rolling and de Sitter fields, finding the parameter space where they can be compatible with the refined de Sitter conjecture. The modified models with rolling fields can be used to construct quintessence models to accommodate the accelerating expansion of the Universe.
Highlights
AND MOTIVATIONIn recent years, the search for de Sitter solutions in superstring and supergravity theories has intensified1 due to two pivotal observations
We have studied a toy model of one field with no-scale Kähler potential and a superpotential constructed from two Minkowski endpoints, which yields a de Sitter scalar potential
It is well known that for a particular choice of parameters, this model is unstable along the imaginary direction, that is the second derivative of the scalar potential is negative
Summary
The search for de Sitter (dS) solutions in superstring and supergravity theories has intensified due to two pivotal observations. The second one is the observational support for inflationary cosmology [12] According to the latter observation, it appears that the Universe underwent an early epoch of near-exponential quasi-de Sitter expansion driven by an inflaton field energy that was large in comparison with the electroweak scale of the Standard Model, but still hierarchically smaller than the Planck scale. It has been challenging to construct explicit and controllable models that realize de Sitter solutions in string compactifications [13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28] This difficulty is the main motivation for the proposal of the refined de Sitter conjecture (RdSC), [29,30] (see [31]).
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