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Non-BPS monopoles and dyons via resurgent transseries

Gerald V. Dunne and Evan Shinn

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Phys. Rev. D 114, 025018 – Published 23 July, 2026

DOI: https://doi.org/10.1103/fhhl-sj3z

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.

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Phys. Rev. D 114, 025018– Published 23 July, 2026
  • Received 24 February 2026
  • Accepted 7 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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