  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 multi-field 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.
