Weak gravity versus de Sitter

TL;DR

This paper demonstrates that the magnetic weak gravity conjecture challenges the existence of de Sitter critical points in supergravity models, suggesting a swampland criterion related to gravitino mass degeneracy.

Contribution

It introduces a Dine-Seiberg problem for de Sitter in supergravity using the magnetic weak gravity conjecture and identifies gravitino mass degeneracy as a potential swampland criterion.

Findings

Weak gravity conjecture threatens de Sitter in supergravity models

Degenerate gravitino mass matrix is a common feature

Proposes gravitino degeneracy as a swampland criterion

Abstract

We show that one can uncover a Dine-Seiberg problem for de Sitter critical points in supergravity theories by utilizing the magnetic weak gravity conjecture. We present a large variety of N=2 gauged supergravity models that include vector multiplets and in all cases we find that the weak gravity conjecture threatens de Sitter. A common feature in all such examples is a degenerate mass matrix for the gravitini, which we therefore deem a swampland criterion for de Sitter critical points.