[1812.08167] Shift Symmetries in (Anti) de Sitter Space Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search High Energy Physics - Theory arXiv:1812.08167 (hep-th) [Submitted on 19 Dec 2018 ( v1 ), last revised 24 Apr 2026 (this version, v3)] Title: Shift Symmetries in (Anti) de Sitter Space Authors: James Bonifacio , Kurt Hinterbichler , Austin Joyce , Rachel A. Rosen View a PDF of the paper titled Shift Symmetries in (Anti) de Sitter Space, by James Bonifacio and 3 other authors View PDF HTML (experimental) Abstract: We construct a class of extended shift symmetries for fields of all integer spins in de Sitter (dS) and anti-de Sitter (AdS) space. These generalize the shift symmetry, galileon symmetry, and special galileon symmetry of massless scalars in flat space to all symmetric tensor fields in (A)dS space. These symmetries are parametrized by generalized Killing tensors and exist for fields with particular discrete masses corresponding to the longitudinal modes of massive fields in partially massless limits. We construct interactions for scalars that preserve these shift symmetries, including an extension of the special galileon to (A)dS space, and discuss possible generalizations to interacting massive higher-spin particles. Comments: 54 pages, 4 figures. v3 several more typos corrected Subjects: High Energy Physics - Theory (hep-th) Cite as: arXiv:1812.08167 [hep-th] (or arXiv:1812.08167v3 [hep-th] for this version) https://doi.org/10.48550/arXiv.1812.08167 Focus to learn more arXiv-issued DOI via DataCite Journal reference: JHEP 1902 (2019) 178 Related DOI : https://doi.org/10.1007/JHEP02%282019%29178 Focus to learn more DOI(s) linking to related resources Submission history From: Kurt Hinterbichler [ view email ] [v1] Wed, 19 Dec 2018 19:00:00 UTC (1,037 KB) [v2] Mon, 11 May 2020 05:04:05 UTC (1,038 KB) [v3] Fri, 24 Apr 2026 01:52:22 UTC (1,038 KB) Full-text links: Access Paper: View a PDF of the paper titled Shift Symmetries in (Anti) de Sitter Space, by James Bonifacio and 3 other authors View PDF HTML (experimental) TeX Source view license Current browse context: hep-th < prev | next > new | recent | 2018-12 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from