The Weak Gravity Conjecture and the Viscosity Bound with Six-Derivative Corrections

TL;DR

This paper investigates how six-derivative corrections affect the compatibility of the weak gravity conjecture and the viscosity bound in holographic models, revealing that higher-order corrections can broaden the parameter space where both constraints hold.

Contribution

It analyzes the impact of six-derivative corrections on the weak gravity conjecture and viscosity bound in charged AdS5 black branes, extending previous two- and four-derivative studies.

Findings

Six-derivative corrections expand the parameter space satisfying both constraints.

Next-to-leading corrections allow for broader compatibility between the conjectures.

The study provides insights into the interplay of higher-order corrections and fundamental bounds.

Abstract

The weak gravity conjecture and the shear viscosity to entropy density bound place constraints on low energy effective field theories that may help to distinguish which theories can be UV completed. Recently, there have been suggestions of a possible correlation between the two constraints. In some interesting cases, the behavior was precisely such that the conjectures were mutually exclusive. Motivated by these works, we study the mass to charge and shear viscosity to entropy density ratios for charged AdS5 black branes, which are holographically dual to four-dimensional CFTs at finite temperature. We study a family of four-derivative and six-derivative perturbative corrections to these backgrounds. We identify the region in parameter space where the two constraints are satisfied and in particular find that the inclusion of the next-to-leading perturbative correction introduces wider possibilities for the satisfaction of both constraints.