Global variants of N=1* theories and Calogero-Moser systems

Global variants of four-dimensional gauge theories are specified by their spectrum of genuine Wilson-'t Hooft line operators. The choice of global variant has significant consequences when spacetime is taken to be R-3 x S-1. We focus on N = 1* theories, which are closely connected to twisted el...

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Main Authors: Aguilera Damia, Jeremías (Author) , Argurio, Riccardo (Author) , Bourget, Antoine (Author) , Tatitscheff, Valdo (Author) , Vandepopeliere, Romain (Author)
Format: Article (Journal)
Language:English
Published: August 26, 2025
In: Journal of high energy physics
Year: 2025, Issue: 8, Pages: 1-82
ISSN:1029-8479
DOI:10.1007/JHEP08(2025)212
Online Access:Resolving-System, kostenfrei, Volltext: https://doi.org/10.1007/JHEP08(2025)212
Verlag, kostenfrei, Volltext: https://link.springer.com/content/pdf/10.1007/JHEP08(2025)212.pdf?utm_source=clarivate&getft_integrator=clarivate
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Author Notes:Jeremias Aguilera Damia, Riccardo Argurio, Antoine Bourget, Valdo Tatitscheff and Romain Vandepopeliere
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Summary:Global variants of four-dimensional gauge theories are specified by their spectrum of genuine Wilson-'t Hooft line operators. The choice of global variant has significant consequences when spacetime is taken to be R-3 x S-1. We focus on N = 1* theories, which are closely connected to twisted elliptic Calogero-Moser systems. We establish, on general grounds, how this gauge-theoretic topological data manifests itself on the integrable system side by introducing a notion of global variants for complex many-body integrable systems associated with Lie algebras. Focusing on N = 1* theories of type A and B-2, we elucidate the implications for the structure of gapped vacua, the emergent (generalized) symmetries realized in each vacuum, and the action of spontaneously broken modular invariance.
Item Description:Gesehen am 09.04.2026
Physical Description:Online Resource
ISSN:1029-8479
DOI:10.1007/JHEP08(2025)212