Calorons and constituent monopoles

Lorenzo Foscolo, Calum Ross*

*Corresponding author for this work

Research output: Contribution to journalArticle (journal)peer-review

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Abstract

We study anti-self-dual Yang-Mills instantons on $\mathbb{R}^{3}\times S^{1}$, also known as calorons, and their behaviour under collapse of the circle factor. In this limit, we make explicit the decomposition of calorons in terms of constituent pieces which are essentially charge $1$ monopoles. We give a gluing construction of calorons in terms of the constituents and use it to compute the dimension of the moduli space. The construction works uniformly for structure group an arbitrary compact semi-simple Lie group.
Original languageEnglish
JournalCommunications in Mathematical Physics
Volume403
Issue number3
Early online date26 Aug 2023
DOIs
Publication statusPublished - 26 Aug 2023

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