{"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/enumerating-6d-supergravities-with-t-leq-1","title":"Enumerating 6D supergravities with $T\\leq 1$","arxiv_id":"2404.08845","date":"2024-04-12","proceeding":null,"authors":["Yuta Hamada","Gregory J. Loges"],"abstract":"The space of 6D supergravities with minimal supersymmetry is greatly constrained by anomaly cancellation. Nevertheless, a large number of models satisfy all low-energy consistency conditions and in this work we make progress towards exhaustively enumerating all anomaly-free models with at most one tensor multiplet. Generalizing previous techniques, we describe a general algorithm using multi-hypergraphs and simplicial complexes to systematically enumerate anomaly-free models with gauge groups of any number of simple factors and with hypermultiplets falling into any representations. Using these new ideas, we obtain a \\emph{complete} list of anomaly-free models for $T\\leq 1$, the only simplifying assumption being that the gauge group contains no $\\operatorname{U}(1)$, $\\operatorname{SU}(2)$, $\\operatorname{SU}(3)$ or $\\operatorname{Sp}(2)$ factors. We also study how many/which models in this ensemble satisfy several UV and swampland bounds which have been proposed and previously utilized to great effect, finding that none are ruled out for $T=0$ and $\\approx\\!50\\%$ are inconsistent with quantum gravity for $T=1$.","url_abs":"https://arxiv.org/abs/2404.08845v1","url_pdf":"https://arxiv.org/pdf/2404.08845v1.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":"enumerating-6d-supergravities-with-t-leq-1","repo_url":"https://github.com/gloges/6d-sugra-data","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"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}