Work

Homotopy transfer for massive Kaluza-Klein modes

Year: 2026

Type: article

Abstract: A bstract We develop techniques to treat massive Kaluza-Klein modes to arbitrary order in perturbation theory. The Higgs mechanism that renders the higher Kaluza-Klein modes massive is displayed. To this end we give an algorithm in perturbation theory that yields new fields with the following characteristics: they are gauge invariant under all higher-mode gauge transformations, which are broken, but they transform covariantly under the zero-mode gauge transformations, which are unbroken. We employ the formulation of field theory in terms of L ∞ algebras together with their homotopy transfer , which here maps the gauge redundant fields of gravity to gauge invariant fields. We illustrate these results, as a proof of concept, for Kaluza-Klein theory on a torus. In an accompanying paper these results will be applied to a large class of generalized Scherk-Schwarz backgrounds in exceptional field theory.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep05(2026)098

Authors: Camille Eloy, Olaf Hohm, Camilla Lavino, Henning Samtleben, Yehudi Simon

Institutions: École Normale Supérieure de Lyon, Centre National de la Recherche Scientifique, Laboratoire de Physique de l'ENS de Lyon, Humboldt-Universität zu Berlin, Institut Universitaire de France

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Deutsche Forschungsgemeinschaft

Award: GRK 2575: Überdenken der Quantenfeldtheorie