Some aspects of symmetry descent

Etxebarria, Iñaki García; Hosseini, Saghar S.

Abstract

In many cases the symmetry structure of quantum field theories can be neatly encoded into their associated symmetry topological field theory (SymTFT), a topological field theory in one dimension higher. For geometrically engineered QFTs in string theory this SymTFT has been argued to arise from the background geometry, essentially by integration of the topological sector of string theory on the horizon of the geometry transverse to the QFT locus. In this paper we clarify some subtle aspects of this proposal. We take a higher dimensional approach, where the ten dimensional string theory fields to be integrated arise as edge modes of a topological field theory in eleven dimensions. The resulting construction provides a SymTFT generalisation of the descent procedure for anomalies.

Citation

Etxebarria, I. G., & Hosseini, S. S. (2024). Some aspects of symmetry descent. Journal of High Energy Physics, 2024(12), Article 223. https://doi.org/10.1007/jhep12%282024%29223

• Journal Article Type: Article
• Acceptance Date: Dec 11, 2024
• Online Publication Date: Dec 30, 2024
• Publication Date: Dec 30, 2024
• Deposit Date: Jan 15, 2025
• Publicly Available Date: Jan 15, 2025
• 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: 2024
• Issue: 12
• Article Number: 223
• DOI: https://doi.org/10.1007/jhep12%282024%29223
• Keywords: Conformal Field Models in String Theory, Supersymmetric Gauge Theory, Topological Field Theories, Global Symmetries
• Public URL: https://durham-repository.worktribe.com/output/3332059