RECORD
Breaking the $Z_2$ symmetry of the Randall-Sundrum scenario and the fate of the massive modes
High Energy Physics - Theory · Submitted 10 Nov 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the resonant behavior is very mild even for strong asymmetries, and moreover it occurs only for very large masses, so that its effects on the Newtonian potential are exponentially suppressed.
The compiled record
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.
Open the compiled record
The abstract, sentence by sentence
We address in detail the issue of possible resonances in the massive modes on a brane without reflection symmetry. After identifying a set of solvability conditions, we show explicitly how the modes of the asymmetric case can be traced back to the modes of the symmetric RS-2 scenario. The possible occurrence of resonances is revisited and discussed by finding analytical solutions. We find that the resonant behavior is very mild even for strong asymmetries, and moreover it occurs only for very large masses, so that its effects on the Newtonian potential are exponentially suppressed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We address in detail the issue of possible resonances in the massive modes on a brane without reflection symmetry. | contribution 0.78 | 0.80 | 0.03 | hedged possibility 0.58 |
| s1 | After identifying a set of solvability conditions, we show explicitly how the modes of the asymmetric case can be traced back to the modes of the symmetric RS-2 scenario. | method 0.62 | 0.94 | 0.07 | asserted 1.00 |
| s2 | The possible occurrence of resonances is revisited and discussed by finding analytical solutions. | method 0.69 | 0.85 | 0.04 | asserted 0.56 |
| s3 | We find that the resonant behavior is very mild even for strong asymmetries, and moreover it occurs only for very large masses, so that its effects on the Newtonian potential are exponentially suppressed. | result 0.95 | 0.96 | 0.88 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We address in detail the issue of possible resonances in the massive modes on a brane without reflection symmetry. After identifying a set of solvability conditions, we show explicitly how the modes of the asymmetric case can be traced back to the modes of the symmetric RS-2 scenario. The possible occurrence of resonances is revisited and discussed by finding analytical solutions. We find that the resonant behavior is very mild even for strong asymmetries, and moreover it occurs only for very large masses, so that its effects on the Newtonian potential are exponentially suppressed.
Human review
How the literature uses it
3 arXiv papers cite this in 8 sentences
Papers citing it · 5 sentences without a confident label
Uses its method or tool 1 paper
-
In Sec. [ref], the fermionic spectrum is analyzed following the approach of [ref] .
Fermions localization on de Sitter branes · Introduction · 0.88
Compares with it 1 paper
-
The eigenvalue problems ([ref],[ref]) are similar to those considered in [ref] where two wave functions are identified for each $m^2$, such that, while one is transparent to the brane, $û^c_m$, the other one, $û^d_m$, is scattered for it.
Fermions localization on de Sitter branes · Fermions spectrum · 0.82
Cites it as background 1 paper
-
In the static case, the curvature of the bulk needs to be AdS$_5$ to confine gravity in four dimensions [ref] ; while, in the dynamic case, the zero mode of gravitational fluctuations is localized on the brane independently of bulk curvature [ref] .
Fermions localization on de Sitter branes · Introduction · 0.84
What it cites · 18 sentences without a confident label
Contests 2 papers
-
In absence of $Z_2$ symmetry, $ψ^w_m(z)$ and a particular $ψ^dist_m(z)$, although linearly independent solutions, are not automatically orthogonal and can not be identified a priori with the orthonormal massive modes associated to $m^2$, a fact that has been overlooked in some previous works [ref] .
Synergistic Gravity and the Role of Resonances in GRS-Inspired Braneworlds · Introduction · contest 0.81
-
In absence of $Z_2$ symmetry, $ψ^w_m(z)$ and a particular $ψ^dist_m(z)$, although linearly independent solutions, are not automatically orthogonal and can not be identified a priori with the orthonormal massive modes associated to $m^2$, a fact that has been overlooked in some previous works [ref] .
Close to the edge: hierarchy in a double braneworld · Introduction · contest 0.81
Uses the method or tool of 2 papers
-
Following [ref] (see [ref] for a detailed derivation), we introduce regulator (negative tension) branes at $±z_r$ taking the limit $z_r→∞$ at the end and the resulting scenario will be called the regularized one.
Higher order corrections to the Newtonian potential in the Randall-Sundrum model · Introduction · 0.94
-
Following [ref] (see [ref] for a detailed derivation), we introduce regulator (negative tension) branes at $±z_r$ taking the limit $z_r→∞$ at the end and the resulting scenario will be called the regularized one.
An Alternative to Compactification · Introduction · 0.94
Cites as background 12 papers
-
Some properties of the asymmetric scenarios have been discussed in [ref] .
Synergistic Gravity and the Role of Resonances in GRS-Inspired Braneworlds · Introduction · 0.99
-
Some properties of the asymmetric scenarios have been discussed in [ref] .
Gravity localization on thick branes: a numerical approach · Introduction · 0.99
-
Some properties of the asymmetric scenarios have been discussed in [ref] .
Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes · Introduction · 0.99
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.