Hodge Duality on the Brane

Abstract

It has been claimed that whereas scalars can be bound to a Randall-Sundrum brane, higher p-form potentials cannot, in contradiction with the Hodge duality between 0-form and 3-form potentials in the five-dimensional bulk. Here we show that a 3-form in the bulk correctly yields a 2-form on the brane, in complete agreement with both bulk and brane duality. We also emphasize that the phenomenon of photon screening in the Randall-Sundrum geometry is ruled out by the bulk Einstein equation.

6 pages, Latex. We emphasize that the phenomenon of photon screening in the Randall-Sundrum geometry is ruled out by the bulk Einstein equation

References in corpus (6)

• An Alternative to Compactification
• Localization of Matter and Cosmological Constant on a Brane in Anti de Sitter Space
• Complementarity of the Maldacena and Randall-Sundrum Pictures
• Branes on the Brane
• Brane-world Kaluza-Klein reductions and Branes on the Brane
• Gauge Symmetry and Localized Gravity in M Theory

Cited by in corpus (26)

• The inflationary universe in F(R) gravity with antisymmetric tensor fields and their suppression during the universe evolution
• Solutions to the problem of ELKO spinor localization in brane models
• Bulk antisymmetric tensor fields in a Randall-Sundrum model
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• Localization and mass spectrum of $q-$form fields on branes
• Invisibility of antisymmetric tensor fields in the light of $F(R)$ gravity
• $p-$forms non-minimally coupled to gravity in Randall-Sundrum scenarios
• $U(1)$ gauge vector field on a codimension-2 brane
• Universal Aspects of $U(1)$ Gauge Field Localization on Branes in $D$-dimensions
• Localization of $q-$form fields on $Ad{S}_{p+1}$ branes
• Antisymmetric tensor fields in a generalized Randall-Sundrum scenario
• Localization of Bulk Form Fields on Dilatonic Domain Walls
• Gauge Field Emergence from Kalb-Ramond Localization
• Massive $p$-form trapping as a $p$-form on a brane
• Consistency Conditions for Fields Localization on Braneworlds
• Kaluza-Klein modes of $U(1)$ gauge vector field on brane with codimension-$d$
• Path integral formulation of Hodge duality on the brane
• Consistency Conditions for $p$-Form Fields Localization on Codimension two Braneworlds
• Scalar Hair of Global Defect and Black Brane World
• Universal Mass Scale for Bosonic Fields in Multi-Brane Worlds
• Universal Mass Scale for Bosonic Fields in Multi-Brane Worlds
• Bulk Fields in Delocalized Dilatonic p-Branes
• A Note About Localized Photons on the Brane
• Bouncing Cosmologies in modified gravity with space time torsion
• The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds
• Embedding Wormholes and Dyonic Black Strings in Warped Braneworlds via Local Sum Rules