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

par Damia, Jeremias Aguilera;Argurio, Riccardo ;Bourget, Antoine;Tatitscheff, Valdo;Vandepopeliere, Romain
Référence The journal of high energy physics (Online), 2025, 8, 212
Publication Publié, 2025-08

Article révisé par les pairs

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Résumé :

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 ℝ3 × S1. 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 B2, 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.