Abstract
Gauging a discrete 0-form symmetry of a QFT is a procedure that changes the global form of the gauge group but not its perturbative dynamics. In this work, we study the Seiberg-Witten solution of theories resulting from the gauging of charge conjugation in 4d \( \mathcal{N} \) = 2 theories with SU(N) gauge group and fundamental hypermultiplets. The basic idea of our procedure is to identify the ℤ2 action at the level of the SW curve and perform the quotient, and it should also be applicable to non-lagrangian theories. We study dynamical aspects of these theories such as their moduli space singularities and the corresponding physics; in particular, we explore the complex structure singularity arising from the quotient procedure. We also discuss some implications of our work in regards to three problems: the geometric classification of 4d SCFTs, the study of non-invertible symmetries from the SW geometry, and the String Theory engineering of theories with disconnected gauge groups.
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Acknowledgments
It’s a pleasure to thank Michele Del Zotto, Pietro Longhi, Kunal Gupta, Robert Moscrop, Guglielmo Lockhart, Iñaki García-Etxebarria, Sergej Monavari, Federico Carta and Amihay Hanany for discussions. We particularly thank Roberto Valandro for comments on the draft. GAT is supported by the STFC Consolidated Grants ST/T000791/1 and ST/X000575/1. The work of MDM is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No. 851931). MDM thanks the “Fondazione Angelo Della Riccia” for financial support during the initial stage of this work.
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Arias-Tamargo, G., De Marco, M. Disconnected gauge groups in the infrared. J. High Energ. Phys. 2024, 50 (2024). https://doi.org/10.1007/JHEP06(2024)050
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DOI: https://doi.org/10.1007/JHEP06(2024)050