Global structures from the infrared

Del Zotto, Michele; García Etxebarria, Iñaki

Abstract

Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory in one dimension higher, the symmetry TFT. In this paper we show that this TFT can be reconstructed from a careful analysis of the infrared Coulomb-like phases. In particular, the TFT matches between the UV and the IR. This provides a purely field theoretical counterpart of several recent results obtained via geometric engineering in various string/M/F theory setups for theories in four and five dimensions that we confirm and extend.

Citation

Del Zotto, M., & García Etxebarria, I. (2023). Global structures from the infrared. Journal of High Energy Physics, 2023(11), Article 58. https://doi.org/10.1007/jhep11%282023%29058

• Journal Article Type: Article
• Acceptance Date: Oct 28, 2023
• Online Publication Date: Nov 10, 2023
• Publication Date: 2023-11
• Deposit Date: Nov 13, 2023
• Publicly Available Date: Nov 13, 2023
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 11
• Article Number: 58
• DOI: https://doi.org/10.1007/jhep11%282023%29058
• Keywords: Supersymmetric Gauge Theory, Global Symmetries, Discrete Symmetries, Duality in Gauge Field Theories
• Public URL: https://durham-repository.worktribe.com/output/1926058