Physics

Multiplet

De Sitter universe

Pure mathematics

Mathematics

String theory

Particle physics

Supersymmetry

String (physics)

Dark energy

Cosmology

Sigma

Theoretical physics

Spectral line

Quantum mechanics

Nilpotent

Supergravity

Universe

Fortschritte der Physik

We review the advanced version of the KKLT construction and pure $d=4$ de Sitter supergravity, involving a nilpotent multiplet, with regard to various conjectures that de Sitter state cannot exist in string theory. We explain why we consider these conjectures problematic and not well motivated, and why the recently proposed alternative string theory models of dark energy, ignoring vacuum stabilization, are ruled out by cosmological observations at least at the $3\sigma$ level, i.e. with more than $99.7\%$ confidence.

The Landscape, the Swampland and the Era of Precision Cosmology