Interactions between different Kaluza-Klein modes in brane world

[2412.07628] Interactions between different Kaluza-Klein modes in brane world Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search High Energy Physics - Theory arXiv:2412.07628 (hep-th) This paper has been withdrawn by Wenxuan Ma [Submitted on 10 Dec 2024 ( v1 ), last revised 14 Apr 2026 (this version, v3)] Title: Interactions between different Kaluza-Klein modes in brane world Authors: Wen-Xuan Ma , Chun-E Fu View a PDF of the paper titled Interactions between different Kaluza-Klein modes in brane world, by Wen-Xuan Ma and 1 other authors No PDF available, click to view other formats Abstract: In brane-world theory, through Kaluza-Klein (KK) reduction, a higher-dimensional U(1) gauge field manifests on the brane as a series of vector and scalar KK modes, while a bulk fermion field manifests as left- and right-handed components. However, these conclusions rely on the common assumption that there is no interaction between different levels of KK modes. Recent experimental phenomena, such as flavor mixing in particles, suggest that such interactions should be taken into account. To address this, we propose an \emph{Orthonormal Completeness Hypothesis} (OCH) for the basis functions used to expand the higher-dimensional field. By applying the OCH, we demonstrate that the effective action of a free bulk U(1) gauge field is intrinsically gauge-invariant in brane models with codimension-\(d\) (\(d \geq 1\)). This effective action suggests the existence of interactions between different levels of KK modes, which can only be eliminated by choosing specific basis functions, provided the warp factors satisfy special commutation relations. In general, such interactions are universally present. We show the numerical calculations for these coupling coefficients in an interesting 6D brane world. This method can be extended to fermion fields, and it is shown that interactions between different levels of left- and right-handed KK modes exist, providing new insights into phenomena such as flavor mixing. Comments: fatal flaw Subjects: High Energy Physics - Theory (hep-th) Cite as: arXiv:2412.07628 [hep-th] (or arXiv:2412.07628v3 [hep-th] for this version) https://doi.org/10.48550/arXiv.2412.07628 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Wenxuan Ma [ view email ] [v1] Tue, 10 Dec 2024 16:07:49 UTC (12,093 KB) [v2] Mon, 16 Dec 2024 06:51:17 UTC (4,639 KB) [v3] Tue, 14 Apr 2026 07:35:03 UTC (1 KB) (withdrawn) Full-text links: Access Paper: View a PDF of the paper titled Interactions between different Kaluza-Klein modes in brane world, by Wen-Xuan Ma and 1 other authors Withdrawn No license for this version due to withdrawn Current browse context: hep-th < prev | next > new | recent | 2024-12 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

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