Localization of gauge bosons and the Higgs mechanism on topological solitons in higher dimensions

• Published in: The journal of high energy physics Vol. 2019; no. 10; pp. 1 - 41
• Main Authors: Eto, Minoru, Kawaguchi, Masaki
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2019; Springer Nature B.V; SpringerOpen
• Subjects: Bosons; Classical and Quantum Gravitation; Domain walls; Elementary Particles; Field Theories in Higher Dimensions; High energy physics; Intersections; Localization; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Solitary waves; Solitons Monopoles and Instantons; Spontaneous Symmetry Breaking; String Theory; Topology; Spontaneous Symmetry Breaking; Field Theories in Higher Dimensions; Solitons Monopoles and Instantons
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP10(2019)098

A bstract We provide complete and self-contained formulas about localization of mass-less/massive Abelian gauge fields on topological solitons in generic D dimensions via a field dependent gauge kinetic term. The localization takes place when a stabilizer (a scalar field) is condensed in the topological soliton. We show that the localized gauge bosons are massless when the stabilizer is neutral. On the other hand, they become massive for the charged stabilizer as a consequence of interplay between the localization mechanism and the Higgs mechanism. For concreteness, we give two examples in six dimensions. The one is domain wall intersections and the other is an axially symmetric soliton background.