Locality Outside Extremal Black Holes

TL;DR

This paper proposes that non-local quantum corrections to large extremal black holes are suppressed by local higher-derivative terms, linking this to the species bound, Weak Gravity Conjecture, and supersymmetric theories.

Contribution

It establishes a connection between local higher-derivative corrections and fundamental quantum gravity conjectures in the context of extremal black holes.

Findings

Non-local quantum corrections are suppressed by local higher-derivative terms.

The condition implies the species bound in all even dimensions.

It is motivated by and consistent with the Weak Gravity Conjecture in supersymmetric theories.

Abstract

Motivated by string theory, we propose that non-local quantum corrections to large extremal black holes must be suppressed by local higher-derivative terms (classical corrections). We show that this condition implies the species bound in all even dimensions, is motivated by Weak Gravity Conjecture, and is necessary for the mild form of the Weak Gravity Conjecture in supersymmetric theories with more than supercharges.