Consistency Conditions for -Form Fields Localization on Codimension two Braneworlds
arXiv:2006.10640 · doi:10.1140/epjc/s10052-020-08670-9
Abstract
Recently, in (Eur.Phys.J.C 80 (2020) 5, 432), the present authors obtained general stringent conditions on the localization of fields in braneworlds by imposing that its zero-mode must satisfy Einstein's equations (EE). Here, we continue this study by considering free -form. These fields present an on-shell equivalency relation between a -form and a -form, provided by Hodge duality (HD). This symmetry will impose a new consistency condition, namely, confinement of a -form must imply the localization of its dual. We apply the above conditions to D braneworlds. With this, we find that in global string-like defects, for example, the -form has a normalizable zero-mode. By using the HD, we show that its bulk dual -form also has a normalizable zero-mode, making the confinement consistent with HD. However, these solutions cannot be made consistent with EE, therefore, these fields must be ruled out. In fact, by imposing both conditions, only the scalar and its dual field can be consistently localized. In this way, all the literature so far in which the free -form is localized in codimension two models should be reviewed. These results also point to the fact that the symmetries of the fields can be used to verify the consistency of their localization and even prohibit it.
arXiv comment39 pages and 2 figures. Final version
References in corpus (56)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- Four-dimensional gravity on a thick domain wall
- Localization of Matter and Cosmological Constant on a Brane in Anti de Sitter Space
- Bulk Standard Model in the Randall-Sundrum Background
- Localizing Gravity on a String-Like Defect in Six Dimensions
- Localized Gravitons, Gauge Bosons and Chiral Fermions in Smooth Spaces Generated by a Bounce
- Infinitely Large New Dimensions
- Solving the Hierarchy Problem with Noncompact Extra Dimensions
- Nonsingular global string compactifications
- Localization of Matters on a String-like Defect
- Fermion zero-modes on brane-worlds
- New Global Defect Structures
- Living Inside a Hedgehog: Higher-dimensional Solutions that Localize Gravity
- Fermion localization on thick branes
- 3-branes on resolved conifold
- Localisation of massive fermions on the brane
- Scalar kinks and fermion localisation in warped spacetimes
- P-nflation: generating cosmic Inflation with p-forms
- A note on spin-s duality
- Does a Randall-Sundrum scenario create the illusion of a torsion-free universe?
- A model to localize gauge and tensor fields on thick branes
- Massive vector trapping as a gauge boson on a brane
- Gauge Field Localization on the Brane Through Geometrical Coupling
- Bosonic Fields in the String-like Defect Model
- Gravity on a 3-brane in 6D Bulk
- Localization of bulk matter fields, the hierarchy problem and corrections to Coulomb's law on a pure de Sitter thick braneworld
- Origami World
- Gauge field localization on the Bloch Brane
- Gauge field localization on Abelian vortices in six dimensions
- Living on the edge in a spacetime with multiple warping
- Localized gravity and mass hierarchy in D=6 with the Gauss-Bonnet term
- Hodge Duality on the Brane
- q-Form fields on p-branes
- Antisymmetric Tensor Fields in Randall Sundrum Thick Branes
- Gauge vector field localization on 3-brane placed in a warped transverse resolved conifold
- Field localization on a brane intersection in anti-de Sitter spacetime
- Scalar field localization on 3-branes placed at a warped resolved conifold
- Generalized non-minimal couplings in Randall-Sundrum scenarios
- Bulk Antisymmetric tensor fields coupled to a dilaton in a Randall-Sundrum model
- Deformed brane with finite extra dimension
- New localization mechanism and Hodge duality for form field
- Localization and mass spectrum of form fields on branes
- Gauge fields in a string-cigar braneworld
- Antisymmetric Tensor Fields in Codimension Two Brane-World
- Localization of gauge vector field on flat branes with five-dimension (asymptotic) AdS spacetime
- Universal Aspects of Gauge Field Localization on Branes in -dimensions
- Localization of form fields on branes
- Thick Branes in Extra Dimensions and Suppressed Dark Couplings
- New Analytical Solutions for Bosonic Field Trapping in Thick Branes
- Consistency Conditions for Fields Localization on Braneworlds
- Tensor gauge field localization on a string-like defect
- Path integral formulation of Hodge duality on the brane
- Fat brane, dark matter and localized kinetic terms in six dimensions
- Fat brane and seesaw mechanism in extra dimensions
- Some Phenomenological Aspects of the (n + m + 1) dimensional Brane World Scenario with an m-form Field