Degenerate vortices and world-line instantons in three-dimensional gauge theories

Fuente: arXiv
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Main Authors: Ievlev, Evgenii, Shifman, Mikhail
Format: Preprint
Published: 2026
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author Ievlev, Evgenii
Shifman, Mikhail
author_facet Ievlev, Evgenii
Shifman, Mikhail
contents In this paper we continue the study of particle-like topological solitons with degenerate masses and their mixing due to world-line instantons. Previously, this phenomenon was studied in 1+1-dimensional setups. Here we take a step further and consider degenerate vortices in 2+1 dimensions. We find that, while classically such vortices may be degenerate, they generally mix and split at the quantum level. Supersymmetry protects BPS-saturated vortices only when the number of supercharges in the bulk is large enough.
format Preprint
id arxiv_https___arxiv_org_abs_2602_03929
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Degenerate vortices and world-line instantons in three-dimensional gauge theories
Ievlev, Evgenii
Shifman, Mikhail
High Energy Physics - Theory
In this paper we continue the study of particle-like topological solitons with degenerate masses and their mixing due to world-line instantons. Previously, this phenomenon was studied in 1+1-dimensional setups. Here we take a step further and consider degenerate vortices in 2+1 dimensions. We find that, while classically such vortices may be degenerate, they generally mix and split at the quantum level. Supersymmetry protects BPS-saturated vortices only when the number of supercharges in the bulk is large enough.
title Degenerate vortices and world-line instantons in three-dimensional gauge theories
topic High Energy Physics - Theory
url https://arxiv.org/abs/2602.03929