Gauge field localization on Abelian vortices in six dimensions

Abstract

The vector and tensor fluctuations of vortices localizing gravity in the context of the six-dimensional Abelian Higgs model are studied. These string-like solutions break spontaneously six-dimensional Poincaré invariance leading to a finite four-dimensional Planck mass and to a regular geometry both in the bulk and on the core of the vortex. While the tensor modes of the metric are decoupled and exhibit a normalizable zero mode, the vector fluctuations, present in the gauge sector of the theory, are naturally coupled to the graviphoton fields associated with the vector perturbations of the warped geometry. Using the invariance under infinitesimal diffeomorphisms, it is found that the zero modes of the graviphoton fields are never localized. On the contrary,the fluctuations of the Abelian gauge field itself admit a normalizable zero mode.

31 pages in Latex style with 3 figures

References in corpus (11)

• Large and infinite extra dimensions
• On models of gauge field localization on a brane
• Gauge-invariant fluctuations of scalar branes
• Warped compactification on Abelian vortex in six dimensions
• Three generations on a local vortex in extra dimensions
• Localization of metric fluctuations on scalar branes
• Thick branes and Gauss-Bonnet self-interactions
• Neutrino masses with a single generation in the bulk
• Extra dimensions as an alternative to Higgs mechanism?
• Towards the realistic fermion masses with a single family in extra dimensions
• Six-dimensional Abelian vortices with quadratic curvature self-interactions

Cited by in corpus (32)

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• QED from six-dimensional vortex and gauge anomalies
• Isolated Minkowski vacua, and stability analysis for an extended brane in the rugby ball
• Effective gauge theories on domain walls via bulk confinement?
• Fermions in the vortex background on a sphere
• Fermionic Kaluza-Klein modes in the string-cigar braneworld
• Gravitating multidefects from higher dimensions
• Localisation and mass generation for non-Abelian gauge fields
• Inflating baby-Skyrme branes in six dimensions
• Bulk gauge and matter fields in nested warping: II. Symmetry Breaking and phenomenological consequences
• Stability of six-dimensional hyperstring braneworlds
• Flavour violation with a single generation
• Graviton modes in multiply warped geometry
• Vector fluctuations from multidimensional curvature bounces
• Gauge fields in a string-cigar braneworld
• Gravitational Localization of Matters in 6D
• Low-energy effects in brane worlds: Liennard-Wiechert potentials and Hydrogen Lamb shift
• Universal Aspects of $U(1)$ Gauge Field Localization on Branes in $D$-dimensions
• Smooth braneworld in $6$-dimensional asymptotically AdS spacetime
• Localizing Gauge Fields on a Topological Abelian String and the Coulomb Law
• Casimir effect in a six-dimensional vortex scenario
• Scalar Kaluza-Klein modes in a multiply warped braneworld
• Matter-gravity interaction in a multiply warped braneworld,
• Time-dependent gravitating solitons in five dimensional warped space-times
• Consistency Conditions for Fields Localization on Braneworlds
• Localizing gravity on Maxwell gauged CP1 model in six dimensions
• Bulk Renormalization and Particle Spectrum in Codimension-Two Brane Worlds
• Consistency Conditions for $p$-Form Fields Localization on Codimension two Braneworlds
• The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds