Non-BPS Monopoles and Dyons via Resurgent Transseries

TL;DR

This paper constructs non-BPS monopoles and dyons as resurgent transseries, revealing their detailed structure through infinite sums of exponentially decaying terms and elucidating the behavior in the BPS limit.

Contribution

It introduces a resurgent transseries framework for non-BPS monopoles and dyons, explicitly expressing higher exponential terms in terms of leading solutions.

Findings

Higher exponential terms are explicitly expressed in terms of leading solutions

All fluctuation terms truncate in the BPS limit

Provides a detailed transseries description of non-BPS monopoles and dyons

Abstract

Radially symmetric non-BPS 't Hooft-Polyakov monopoles and dyons are constructed as resurgent transseries: infinite sums of exponentially decaying terms, each multiplied by a factorially divergent fluctuation factor. All higher exponential terms are explicitly expressed in terms of the leading order solutions. In the BPS limit all fluctuation terms truncate.