{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/topology-of-su-n-lattice-gauge-theories","title":"Topology of $SU(N)$ lattice gauge theories coupled with $\\mathbb{Z}_N$ $2$-form gauge fields","arxiv_id":"2303.10977","date":"2023-03-20","proceeding":null,"authors":["Motokazu Abe","Okuto Morikawa","Soma Onoda","Hiroshi Suzuki","Yuya Tanizaki"],"abstract":"We extend the definition of L\\\"uscher's lattice topological charge to the case of $4$d $SU(N)$ gauge fields coupled with $\\mathbb{Z}_N$ $2$-form gauge fields. This result is achieved while maintaining the locality, the $SU(N)$ gauge invariance, and $\\mathbb{Z}_N$ $1$-form gauge invariance, and we find that the manifest $1$-form gauge invariance plays the central role in our construction. This result gives the lattice regularized derivation of the mixed 't Hooft anomaly in pure $SU(N)$ Yang-Mills theory between its $\\mathbb{Z}_N$ $1$-form symmetry and the $\\theta$ periodicity.","url_abs":"https://arxiv.org/abs/2303.10977v2","url_pdf":"https://arxiv.org/pdf/2303.10977v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"topology-of-su-n-lattice-gauge-theories","repo_url":"https://github.com/akio-tomiya/Gaugefields.jl","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok","spdx":"MIT"}},{"paper_slug":"topology-of-su-n-lattice-gauge-theories","repo_url":"https://github.com/o-morikawa/Gaugefields.jl","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok","spdx":"MIT"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}