With Vaibhav Kalvakota, I wrote some notes on string compactification starting from supergravity compactification and ending with whether there exists a de Sitter solution in string theory in non-classical cases. This review was meant to initiate discussions on the de Sitter case.
Abstract. These notes are written on the (realistic) string compactifications and
the string de Sitter vacua problem. A lot of unanswered questions remain in these
regime which are highlighted using a historical canvas and exposition. We discuss
also the KKLT proposal and other recent discussions around if there is a de Sitter vacua? In the exposition, we review the Calabi-Yau manifolds, supergravity
compactification, flux compactification, moduli stabilization, and all that.
This has been written in the same series where we wrote on the de Sitter quantum
gravity and observables, ‘Revering Musings on de Sitter and Holography, 2023’.
The preprint is available at this link now.
