Swampland de Sitter conjectures in no-scale supergravity models

It is challenging to construct explicit and controllable models that realize de Sitter solutions in string compactifications. This difficulty the main motivation for Refined Conjecture Trans-Planckian Censorship which forbid stable but allow metastable, unstable rolling a theory consistent with quantum gravity. Inspired by this, we first study toy No-Scale Supergravity model show particular choices of parameters it can be Conjecture. Then modify adding dynamics become along imaginary direction, where would otherwise unstable. We extend multi-field fields, finding parameter space they compatible . The modified fields used Quintessence accommodate accelerating expansion Universe.