Formulating the Weak Gravity Conjecture in AdS Space

概要

The Weak Gravity Conjecture (WGC) plays an important role in the swampland program. While the WGC has been intensively studied and refined since its inception, most studies have been focused on formulating and testing the conjecture in Minkowski space. In this talk, I will discuss our proposal of a version of the Weak Gravity Conjecture that applies to AdS space. Adhering to one of the original motivations for the WGC by demanding extremal black holes to decay, the dynamics of black hole charged emission is analyzed, leading to an AdS WGC that is more stringent than the Minkowski version. The new AdS WGC bound can also be obtained from a black hole-particle repulsiveness condition and the near horizon Breitenlohner-Freedman  (BF) instability of extremal black holes. I will discuss extensions and implications of the AdS WGC bound, including the convex hull version and consistency with supersymmetry, and comment on further steps to embed the AdS WGC into string theory settings.

---