Fermionic Kaluza-Klein modes in the string-cigar braneworld

Abstract

We study the spin 1/2 and spin 3/2 fermion fields in a thick braneworld scenario in six dimensions called string-cigar model. This smooth string-like model has a source that satisfies the dominant energy condition and undergoes a Ricci flow. We propose a new coupling for the fermions with a background gauge field which allows a smooth and normalized massless mode in the brane with positive tension. By numerical methods the mass spectrum and the massive eigenfunctions are obtained. The Kaluza-Klein massive tower exhibits the usual increasing pattern and, in this scenario, the coupling term does not allow tachyonic Kaluza-Klein states. The brane core and the background gauge field alter the properties of the massive KK tower, enhancing the amplitude of the massive states near the origin and changing the properties of the analogue Schroedinger potential. Furthermore, we find massive modes as resonant states in this scenario for both fermionic fields.

Final version to appear in Physical Review D. Section II substantially enlarged in order to do a comprehensive review of the thin string brane model and string cigar brane model. One section added for considering of the Rarita-Schwinger spinor field. Some references added. 35 pgs, 17 figs

References in corpus (19)

• Fermion localization and resonances on two-field thick branes
• Fermion Localization and Resonances on A de Sitter Thick Brane
• Gauge Fields, Fermions and Mass Gaps in 6D Brane Worlds
• Dark Matter and Electroweak Symmetry Breaking in Models with Warped Extra Dimensions
• On sigma model RG flow, "central charge" action and Perelman's entropy
• Localization of Fermions on a String-like Defect
• Fermion localization on degenerate and critical branes
• Fermions in Self-dual Vortex Background on a String-like Defect
• A Warped Model of Dark Matter
• Fermion localization on two-field thick branes
• Gravity localization in a string-cigar braneworld
• Gauge fields in a string-cigar braneworld
• A Metric for Gradient RG Flow of the Worldsheet Sigma Model Beyond First Order
• Gravitational Kaluza-Klein modes in the String-Cigar Braneworld
• The Universe as a Cosmic String
• Codimension-2 brane inflation
• Constraints for warped branes
• Anisotropic Extra Dimensions
• A smoothed string-like braneworld in six dimensions

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