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Gravity localization in a string-cigar braneworld
High Energy Physics - Theory · Submitted 11 Aug 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The gravitational massless mode remains trapped to the brane and the width of the mode depends on the evolution parameter.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
We proposed a six dimensional string-like braneworld built from a warped product between a 3-brane and the Hamilton cigar soliton space, the string-cigar braneworld. This transverse manifold is a well-known steady solution of the Ricci flow equation that describes the evolution of a manifold. The resulting bulk is an interior and exterior metric for a thick string. This is a physical and feasible scenario since the source satisfies the dominant energy condition. It is possible to realize the geometric flow as a result of variations of the matter content of the brane, actually, as its tensions. Furthermore, the Ricci flow defines a family of string-like branes and we studied the effects that the evolution of the transverse space has on the geometric and physical quantities. The geometric flow makes the cosmological constant and the relationship between the Planck masses evolves. The gravitational massless mode remains trapped to the brane and the width of the mode depends on the evolution parameter. For the Kaluza-Klein modes, the asymptotic spectrum of mass is the same as for the thin string-like brane and the analogue Schroedinger potential also changes according to the flow.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We proposed a six dimensional string-like braneworld built from a warped product between a 3-brane and the Hamilton cigar soliton space, the string-cigar braneworld. | contribution 1.00 | 0.92 | 0.12 | asserted 0.99 |
| s1 | This transverse manifold is a well-known steady solution of the Ricci flow equation that describes the evolution of a manifold. | background 0.95 | 0.07 | 0.03 | asserted 1.00 |
| s2 | The resulting bulk is an interior and exterior metric for a thick string. | result 0.58 | 0.73 | 0.09 | asserted 1.00 |
| s3 | This is a physical and feasible scenario since the source satisfies the dominant energy condition. | interpretation 0.84 | 0.64 | 0.09 | asserted 0.98 |
| s4 | It is possible to realize the geometric flow as a result of variations of the matter content of the brane, actually, as its tensions. | interpretation 0.42 | 0.59 | 0.08 | hedged possibility 0.91 |
| s5 | Furthermore, the Ricci flow defines a family of string-like branes and we studied the effects that the evolution of the transverse space has on the geometric and physical quantities. | contribution 0.99 | 0.91 | 0.14 | asserted 1.00 |
| s6 | The geometric flow makes the cosmological constant and the relationship between the Planck masses evolves. | result 0.99 | 0.72 | 0.16 | asserted 1.00 |
| s7 | The gravitational massless mode remains trapped to the brane and the width of the mode depends on the evolution parameter. | result 1.00 | 0.88 | 0.38 | asserted 1.00 |
| s8 | For the Kaluza-Klein modes, the asymptotic spectrum of mass is the same as for the thin string-like brane and the analogue Schroedinger potential also changes according to the flow. | result 1.00 | 0.85 | 0.15 | asserted 1.00 |
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The paper
Original abstract
We proposed a six dimensional string-like braneworld built from a warped product between a 3-brane and the Hamilton cigar soliton space, the string-cigar braneworld. This transverse manifold is a well-known steady solution of the Ricci flow equation that describes the evolution of a manifold. The resulting bulk is an interior and exterior metric for a thick string. This is a physical and feasible scenario since the source satisfies the dominant energy condition. It is possible to realize the geometric flow as a result of variations of the matter content of the brane, actually, as its tensions. Furthermore, the Ricci flow defines a family of string-like branes and we studied the effects that the evolution of the transverse space has on the geometric and physical quantities. The geometric flow makes the cosmological constant and the relationship between the Planck masses evolves. The gravitational massless mode remains trapped to the brane and the width of the mode depends on the evolution parameter. For the Kaluza-Klein modes, the asymptotic spectrum of mass is the same as for the thin string-like brane and the analogue Schroedinger potential also changes according to the flow.
Human review
References
How the literature uses it
8 arXiv papers cite this in 18 sentences
Papers citing it · 9 sentences without a confident label
Cites it as background 6 papers
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As said before, frequently in the literature the $(p-2)$-form is set to zero and only the integral $K_1$ is used [ref] .
Consistency Conditions for $p$-Form Fields Localization on Codimension two Braneworlds · $p$-form fields localization · 0.80
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In the literature, there are a large variety of models in these dimensional configurations where the metric ([ref]) gets the particular shape [ref] [equation] Localization for free vector field in such scenarios was already studied [ref] .
Consistency Conditions for Fields Localization on Braneworlds · Free vector field localization · 0.91
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Consider a static and axisymmetric warped metric between a flat 3-brane $ℳ_4$ and the transverse manifold $ℳ_2$ given by [ref] [equation] where $W∈C^∞$ is the so called warp factor.
Fermions in a warped resolved conifold · Bulk geometry · 0.87
What it cites · 42 sentences without a confident label
Builds on 2 papers
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This is an extension of the GS tuning of the Planck masses [ref] for points inside and near the core.
Localizing Gravity on a String-Like Defect in Six Dimensions · Mass hierarchy · 1.00
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This is an extension of the GS tuning of the Planck masses [ref] for points inside and near the core.
Localization of Matters on a String-like Defect · Mass hierarchy · 1.00
Uses the method or tool of 1 paper
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([ref]) into a Schrödinger-like equation and study its analogue quantum potential [ref] .
Solving the Hierarchy Problem with Noncompact Extra Dimensions · Analogue quantum potential · 0.99
Compares with 5 papers
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([ref]) as [equation] Note that equation ([ref]) is similar to that found in string-like geometries [ref] , regardless the cigar term $β(ρ,k)$.
Localization of Matters on a String-like Defect · Gravity localization · 0.99
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([ref]) as [equation] Note that equation ([ref]) is similar to that found in string-like geometries [ref] , regardless the cigar term $β(ρ,k)$.
Localizing Gravity on a String-Like Defect in Six Dimensions · Gravity localization · 0.99
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In this limit we do not need tune the brane cosmological constant to the bulk cosmological constant, as in RS models [ref] .
A Large Mass Hierarchy from a Small Extra Dimension · String tensions · 0.84
Cites as background 18 papers
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In a five dimensional manifold, the Randall-Sundrum (RS) models [ref] not only explained the hierarchy between the Planck mass $M_P$ and the Electroweak mass $M_EW$ but also predict a small correction to the Newtonian potential.
An Alternative to Compactification · Introduction · 0.99
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In a five dimensional manifold, the Randall-Sundrum (RS) models [ref] not only explained the hierarchy between the Planck mass $M_P$ and the Electroweak mass $M_EW$ but also predict a small correction to the Newtonian potential.
A Large Mass Hierarchy from a Small Extra Dimension · Introduction · 0.99
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On the other hand, Oda [ref] has extended the warped product between a $(p-1)$-brane and a hypersphere whereas Carlos-Moreno proposed a warped solution which converges asymptotically to a cylinder, the so-called cigar-like universe [ref] .
A cigar-like Universe · Introduction · 0.88
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