Gauge vector field localization on 3-brane placed in a warped transverse resolved conifold

C. A. S. Almeida; F. W. V. Costa; J. E. G. Silva

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Gauge vector field localization on 3-brane placed in a warped transverse resolved conifold

F. W. V. Costa, J. E. G. Silva, C. A. S. Almeida

High Energy Physics - Theory · Submitted 30 Apr 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The analysis of the gauge field in this background has been carried out for the s-wave state and a normalizable massless mode was found.

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arXiv ID1304.7825 (version 1)

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CitationC. A. S. Almeida, F. W. V. Costa, J. E. G. Silva. "Gauge vector field localization on 3-brane placed in a warped transverse resolved conifold." arXiv:1304.7825 (2013). https://pith.science/paper/HIEFALKQ

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.72 · mentions code or data availability 0.02.

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We have investigated the features of the gauge vector field in a braneworld scenario built as a warped product between a 3-brane and a 2-cycle of the resolved conifold. This scenario allowed us to study how the gauge field behaves when the transverse manifold evolves upon a geometric flow that controls the singularity at the origin. Besides, since the transverse manifold has a cylindrical symmetry according to the 3-brane, this geometry can be regarded as a near brane correction of the string-like branes. Indeed, by means of a new warp function and the angular metric component of the resolved conifold, the braneworld can exhibit a conical form near the origin as well as a regular behavior in that region. The analysis of the gauge field in this background has been carried out for the s-wave state and a normalizable massless mode was found. For the massive modes, the resolution parameter avoids an infinite well on the brane and controls the depth of the well and the high of the barrier around the brane. The massive modes are slightly changed near the brane but they agreed with the string-like spectrum for large distances.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We have investigated the features of the gauge vector field in a braneworld scenario built as a warped product between a 3-brane and a 2-cycle of the resolved conifold.	contribution 0.98	0.93	0.07	asserted 0.99
s1	This scenario allowed us to study how the gauge field behaves when the transverse manifold evolves upon a geometric flow that controls the singularity at the origin.	contribution 0.65	0.71	0.06	asserted 0.92
s2	Besides, since the transverse manifold has a cylindrical symmetry according to the 3-brane, this geometry can be regarded as a near brane correction of the string-like branes.	interpretation 0.87	0.37	0.06	hedged possibility 0.65
s3	Indeed, by means of a new warp function and the angular metric component of the resolved conifold, the braneworld can exhibit a conical form near the origin as well as a regular behavior in that region.	result 0.54	0.73	0.09	hedged possibility 0.62
s4	The analysis of the gauge field in this background has been carried out for the s-wave state and a normalizable massless mode was found.	result 0.98	0.95	0.44	asserted 1.00
s5	For the massive modes, the resolution parameter avoids an infinite well on the brane and controls the depth of the well and the high of the barrier around the brane.	result 0.97	0.79	0.16	asserted 1.00
s6	The massive modes are slightly changed near the brane but they agreed with the string-like spectrum for large distances.	result 0.95	0.87	0.21	asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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The paper

Original abstract

We have investigated the features of the gauge vector field in a braneworld scenario built as a warped product between a 3-brane and a 2-cycle of the resolved conifold. This scenario allowed us to study how the gauge field behaves when the transverse manifold evolves upon a geometric flow that controls the singularity at the origin. Besides, since the transverse manifold has a cylindrical symmetry according to the 3-brane, this geometry can be regarded as a near brane correction of the string-like branes. Indeed, by means of a new warp function and the angular metric component of the resolved conifold, the braneworld can exhibit a conical form near the origin as well as a regular behavior in that region. The analysis of the gauge field in this background has been carried out for the s-wave state and a normalizable massless mode was found. For the massive modes, the resolution parameter avoids an infinite well on the brane and controls the depth of the well and the high of the barrier around the brane. The massive modes are slightly changed near the brane but they agreed with the string-like spectrum for large distances.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds
gr-qc 2026-01 reject novelty 6.0 of 10

In arbitrary-dimensional warped braneworlds, the derived local conditions leave only the free scalar and the NED model L(F)=b√F as consistent, localizable bulk fields.
Introduction to Extra Dimensions and Thick Braneworlds
hep-th 2017-07 accept novelty 1.0 of 10

The paper surveys extra-dimension and thick-braneworld models, organizing known solutions and localization results into a single pedagogical review.

How the literature uses it

10 arXiv papers cite this in 34 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 14 sentences without a confident label

Contests it 2 papers

Therefore, the result of Ref. [ref] is not consistent with Einstein Equation.

Consistency Conditions for $p$-Form Fields Localization on Codimension two Braneworlds · Application · contest 0.93
In this sense, several other $p$-form field localization models in 6D and higher dimensions must be ruled out, such as in Refs. [ref] .

The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds · Bosonic fields · contest 0.91

Builds on it 2 papers

In a subsequent study, Ref. [ref] extended the application of condition ([ref]) to additional models and found that * Vector Field: * Higher-dimensional models: In contrast to the four-dimensional case, the zero modes of gauge fields in higher-dimensional braneworlds can lead to convergent integrals [ref] .

The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds · Generalization of Duff et al. consistency condition · 0.92
Thus, this study is a generalization of that one performed in Ref. [ref] .

Consistency Conditions for $p$-Form Fields Localization on Codimension two Braneworlds · Application · 0.99

Compares with it 1 paper

For the particular case $p=1$ and $d=4$ we obtain the result of reference [ref] .

Consistency Conditions for $p$-Form Fields Localization on Codimension two Braneworlds · Application · 0.92

Cites it as support 1 paper

The metric ansatz $(5)$ and $(7)$ satisfy the Einstein equation for a source whose stress-energy components satisfy the weak and dominant energy conditions [ref] .

Fermions in a warped resolved conifold · Bulk geometry · 0.98

Cites it as background 8 papers

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
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
On the other hand, for $6$D braneworlds, gauge field can be confined for string-like or vortex brane models [ref] , but this field still have confinement problems for models with the two extra dimensions infinitely large [ref] .

A Gravity-Consistent Confinement of Fermions in Braneworld · Introduction · 0.80

What it cites · 41 sentences without a confident label

Builds on 2 papers

This is an extension to the string-like GS model tuning of the Planck masses since in this model the relationship is accomplished by fixed geometrical constants, e.g., the bulk cosmological constant and the angular tension [ref] .

Localizing Gravity on a String-Like Defect in Six Dimensions · Mass hierarchy · 0.94
This is an extension to the string-like GS model tuning of the Planck masses since in this model the relationship is accomplished by fixed geometrical constants, e.g., the bulk cosmological constant and the angular tension [ref] .

Localization of Matters on a String-like Defect · Mass hierarchy · 0.94

Uses the method or tool of 1 paper

Instead, following the same approach used in ( [ref] ), our main goal is to study the behavior of the gauge field minimally coupled in this background when the geometry suffers a resolution flow.

Localizing Gravity on a String-Like Defect in Six Dimensions · Bulk geometry · 0.94

Compares with 2 papers

Therefore, we claim the resolution parameter alters slightly the KK modes near the brane and provides the same KK modes as for the exterior string-like model [ref] .

Localization of Matters on a String-like Defect · Massive modes · 0.88
Besides, the dominant energy condition is also broken in the Gherghetta-Schaposhnikov (GS) model (infinitely thin string) [ref] .

Localizing Gravity on a String-Like Defect in Six Dimensions · Einstein equation · 0.94

Cites as background 20 papers

This is a smooth parameter-dependent six dimensional space whose parameter $a$ controls the singularity on the tip of the cone [ref] .

Gravity-Trapping Domain Walls From Resolved Branes · Introduction · 0.92
This is a smooth parameter-dependent six dimensional space whose parameter $a$ controls the singularity on the tip of the cone [ref] .

Black Hole Condensation and the Unification of String Vacua · Introduction · 0.92
This is a smooth parameter-dependent six dimensional space whose parameter $a$ controls the singularity on the tip of the cone [ref] .

Brane Resolution Through Transgression · Introduction · 0.92

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