Swampland de Sitter Conjectures in No-Scale Supergravity Models
Ida M. Rasulian, Mahdi Torabian, Liliana Velasco-Sevilla

TL;DR
This paper investigates no-scale supergravity models in the context of the Swampland de Sitter Conjectures, demonstrating how modifications with rolling fields can produce metastable or rolling solutions compatible with quantum gravity constraints.
Contribution
It introduces modified no-scale supergravity models with rolling dynamics that align with the Swampland de Sitter Conjectures, expanding the landscape of viable cosmological solutions.
Findings
Models can satisfy the Refined de Sitter Conjecture with specific parameters.
Adding rolling dynamics can stabilize the theory along certain directions.
Multi-field models can be compatible with quantum gravity constraints.
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 multi-field rolling and de Sitter fields, finding the parameter space where they can be…
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