Rigid Limit in N=2 Supergravity and Weak-Gravity Conjecture

TL;DR

This paper investigates the behavior of N=2 supergravity coupled with Yang-Mills theory near the rigid limit, revealing a new mass scale consistent with the weak-gravity conjecture and analyzing the prepotential's scale dependence.

Contribution

It demonstrates the emergence of a new mass scale around g M_{pl} in N=2 supergravity-Yang-Mills systems, supporting the weak-gravity conjecture and exploring prepotential scale dependence.

Findings

A new mass scale g M_{pl} appears near the rigid limit.

The results support the weak-gravity conjecture.

The scale dependence of the prepotential is analyzed within supergravity embedding.

Abstract

We analyze the coupled N=2 supergravity and Yang-Mills system using holomorphy, near the rigid limit where the former decouples from the latter. We find that there appears generically a new mass scale around g M_{pl} where g is the gauge coupling constant and M_{pl} is the Planck scale. This is in accord with the weak-gravity conjecture proposed recently. We also study the scale dependence of the gauge theory prepotential from its embedding into supergravity.