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Antisymmetric Tensor Fields in Randall Sundrum Thick Branes
High Energy Physics - Theory · Submitted 4 Aug 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that we can only localize the zero-mode of this field for a specific range of the dilaton coupling, even in the deformed case.
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The abstract, sentence by sentence
In this article we study the issue of localization of the three-form field in a Randall-Sundrum-like scenario. We simulate our membrane by kinks embedded in D=5, describing the usual case (not deformed) and new models coming from a specific deformation procedure. The gravitational background regarded includes the dilaton contribution. We show that we can only localize the zero-mode of this field for a specific range of the dilaton coupling, even in the deformed case. A study about resonances is presented. We use a numerical approach for calculations of the transmission coefficients associated to the quantum mechanical problem. This gives a clear description of the physics involved in the model. We find in this way that the appearance of resonances is strongly dependent on the coupling constant. We study the cases $p=1,3$ and 5 for $\alpha=-1.75$ and $\alpha=-20$. The first value of $\alpha$ give us one resonance peak for $p=1$ and no resonances for $p=3,5$. The second value of $\alpha$ give us a very rich structure of resonances, with number deppending on the value of $p$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this article we study the issue of localization of the three-form field in a Randall-Sundrum-like scenario. | contribution 0.92 | 0.86 | 0.03 | unclear 0.57 |
| s1 | We simulate our membrane by kinks embedded in D=5, describing the usual case (not deformed) and new models coming from a specific deformation procedure. | method 0.88 | 0.90 | 0.03 | asserted 0.95 |
| s2 | The gravitational background regarded includes the dilaton contribution. | method 0.71 | 0.28 | 0.03 | asserted 0.99 |
| s3 | We show that we can only localize the zero-mode of this field for a specific range of the dilaton coupling, even in the deformed case. | result 0.99 | 0.93 | 0.55 | asserted 0.98 |
| s4 | A study about resonances is presented. | contribution 1.00 | 0.82 | 0.03 | asserted 0.68 |
| s5 | We use a numerical approach for calculations of the transmission coefficients associated to the quantum mechanical problem. | method 1.00 | 0.94 | 0.02 | asserted 0.99 |
| s6 | This gives a clear description of the physics involved in the model. | interpretation 0.92 | 0.53 | 0.03 | asserted 0.99 |
| s7 | We find in this way that the appearance of resonances is strongly dependent on the coupling constant. | result 0.99 | 0.96 | 0.19 | asserted 1.00 |
| s8 | We study the cases $p=1,3$ and 5 for $\alpha=-1.75$ and $\alpha=-20$. | method 0.58 | 0.87 | 0.04 | asserted 0.87 |
| s9 | The first value of $\alpha$ give us one resonance peak for $p=1$ and no resonances for $p=3,5$. | result 1.00 | 0.94 | 0.10 | asserted 1.00 |
| s10 | The second value of $\alpha$ give us a very rich structure of resonances, with number deppending on the value of $p$. | result 1.00 | 0.94 | 0.14 | asserted 1.00 |
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The paper
Original abstract
In this article we study the issue of localization of the three-form field in a Randall-Sundrum-like scenario. We simulate our membrane by kinks embedded in D=5, describing the usual case (not deformed) and new models coming from a specific deformation procedure. The gravitational background regarded includes the dilaton contribution. We show that we can only localize the zero-mode of this field for a specific range of the dilaton coupling, even in the deformed case. A study about resonances is presented. We use a numerical approach for calculations of the transmission coefficients associated to the quantum mechanical problem. This gives a clear description of the physics involved in the model. We find in this way that the appearance of resonances is strongly dependent on the coupling constant. We study the cases $p=1,3$ and 5 for $\alpha=-1.75$ and $\alpha=-20$. The first value of $\alpha$ give us one resonance peak for $p=1$ and no resonances for $p=3,5$. The second value of $\alpha$ give us a very rich structure of resonances, with number deppending on the value of $p$.
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References
How the literature uses it
25 arXiv papers cite this in 30 sentences
Papers citing it · 14 sentences without a confident label
Builds on it 2 papers
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In analogy with their work, the present authors have also considered the issue of localization and resonances of a three-form field in [ref] and in two separate papers, $q-$form fields in a scenario of a $p-$brane with co-dimension one and two [ref] .
A Transfer Matrix Method for Resonances in Randall-Sundrum Models · Introduction · 0.85
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In analogy with the work of Kehagias and Tamvakis [ref] , as cited above, the authors have also considered these coupling with a three-form field [ref] , where a condition for localization is found.
Dual Spaces of Resonance In Thick $p-$Branes · Introduction · 0.98
Compares with it 1 paper
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For comparison, previous articles found this condition for $q=1,2,3$ separately [ref] [ref] [ref] .
Dual Spaces of Resonance In Thick $p-$Branes · The case $p=3$ · 0.83
Cites it as background 13 papers
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We are interested in the physical phenomena due to the extra dimensions, for example, a massless field in the bulk can obtain mass from the extra dimensions, and appears as a serious of Kaluza-Klein (KK) modes in the brane [ref] .
Constraints on branes' geometry from massive vector KK modes · Introduction · 0.93
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As already mentioned in the introduction, the dilaton field is commonly used in localization of gauge fields in $D=5$, for example see [ref] .
Spinors Fields in Co-dimension One Braneworlds · Dilaton Coupling · 0.91
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Such coupling between the background scalar filed and the vector field is called the dilaton coupling [ref] .
Localization of Vector Field on Pure Geometrical Thick Brane · Introduction · 0.95
What it cites · 17 sentences without a confident label
Uses the method or tool of 2 papers
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In order to solve that system, we use the so-called super-potential function $W(ϕ)$, defined by $ϕ^'=∂W/∂ϕ$, following the approach of Kehagias and Tamvakis [ref] .
Localized Gravitons, Gauge Bosons and Chiral Fermions in Smooth Spaces Generated by a Bounce · The Kink as a membrane · 1.00
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From the last equation we can find $A_p(y)$ [ref] , [equation] and all the steps for obtaining the equations of motion and the effective action are basically identical.
Gravity on the Bloch Brane · The Dilatonic Deformed Brane · 0.80
Cites as background 14 papers
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Posteriorly, the coupling between the two and three forms with the dilaton was studied, in different contexts, in [ref] .
Bulk Antisymmetric tensor fields coupled to a dilaton in a Randall-Sundrum model · Introduction · 0.89
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Posteriorly, the coupling between the two and three forms with the dilaton was studied, in different contexts, in [ref] .
A Randall-Sundrum scenario with bulk dilaton and torsion · Introduction · 0.89
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Posteriorly, the coupling between the two and three forms with the dilaton was studied, in different contexts, in [ref] .
Bouncing cosmology from Kalb-Ramond Braneworld · Introduction · 0.89
Discussion
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