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Emergent Supersymmetry in Warped Backgrounds
High Energy Physics - Theory · Submitted 24 May 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that quantum mechanical supersymmetries are emerged in Kaluza-Klein spectrum of linearized gravity in several warped backgrounds as a consequence of higher-dimensional general coordinate invariance.
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We show that quantum mechanical supersymmetries are emerged in Kaluza-Klein spectrum of linearized gravity in several warped backgrounds as a consequence of higher-dimensional general coordinate invariance. These emergent supersymmetries play an essential role for the spectral structure of braneworld gravity. We show that for the case of braneworld models with two codimension-1 branes the spectral pattern is completely determined only through the supersymmetries.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show that quantum mechanical supersymmetries are emerged in Kaluza-Klein spectrum of linearized gravity in several warped backgrounds as a consequence of higher-dimensional general coordinate invariance. | result 0.91 | 0.94 | 0.81 | asserted 1.00 |
| s1 | These emergent supersymmetries play an essential role for the spectral structure of braneworld gravity. | interpretation 0.96 | 0.47 | 0.15 | asserted 1.00 |
| s2 | We show that for the case of braneworld models with two codimension-1 branes the spectral pattern is completely determined only through the supersymmetries. | result 0.99 | 0.92 | 0.40 | asserted 1.00 |
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The paper
Original abstract
We show that quantum mechanical supersymmetries are emerged in Kaluza-Klein spectrum of linearized gravity in several warped backgrounds as a consequence of higher-dimensional general coordinate invariance. These emergent supersymmetries play an essential role for the spectral structure of braneworld gravity. We show that for the case of braneworld models with two codimension-1 branes the spectral pattern is completely determined only through the supersymmetries.
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How the literature uses it
5 arXiv papers cite this in 7 sentences
Papers citing it · 5 sentences without a confident label
Cites it as background 2 papers
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So far, quantum-mechanical supersymmetry (QM SUSY) has attracted much attention and has been applied to the various research areas, e.g. exactly solvable quantum mechanics [ref] , Berry phase [ref] , black holes and AdS/CFT [ref] , Sachdev–Ye–Kitaev model [ref] , extra dimensional models [ref] and so on.
Extended supersymmetry with central charges in Dirac action with curved extra dimensions · Introduction · 1.00
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These days, the QM SUSY is applied to a wide range of research areas, e.g. exactly solvable systems in quantum mechanics [ref] , Berry phase [ref] , black holes and AdS/CFT [ref] , Sachdev–Ye–Kitaev model [ref] , extra dimensional models [ref] and so on.
Extended supersymmetry with central charges in higher dimensional Dirac action · Introduction · 0.95
What it cites · 16 sentences without a confident label
Builds on 6 papers
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In this paper we extend our previous analysis [ref] to a wider class of warped backgrounds including Randall–Sundrum model [ref] and Karch–Randall model [ref] .
An Alternative to Compactification · Introduction · 1.00
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In this paper we extend our previous analysis [ref] to a wider class of warped backgrounds including Randall–Sundrum model [ref] and Karch–Randall model [ref] .
Gauge-Fixing and Residual Symmetries in Gauge/Gravity Theories with Extra Dimensions · Introduction · 1.00
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In this paper we extend our previous analysis [ref] to a wider class of warped backgrounds including Randall–Sundrum model [ref] and Karch–Randall model [ref] .
Supersymmetry in 5d Gravity · Introduction · 1.00
Uses the method or tool of 1 paper
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Similar analysis presented in Section [ref] leads to the following hierarchy of Hamiltonians spin-$0$ mode: H_0 = 𝒜_0^-𝒜_0^+ + ε_0 spin-$1$ mode: H_1 = 𝒜_0^+𝒜_0^- + ε_0 = 𝒜_1^-𝒜_1^+ + ε_1 spin-$2$ mode: H_2 = = 𝒜_1^+𝒜_1^- + ε_1 = 𝒜_2^-𝒜_2^+ + ε_2 spin-$3$ mode: H_3 = = 𝒜_2^+𝒜_2^- + ε_2 = ⋯ ⋮ ⋮ For general $s$, the first-order differential operators $𝒜_s^+$ and $𝒜_s^-$ are given by [equation] which satisfies the intertwining relation [equation] where [equation] The constant shift $ε_s$ is given by [equation] Notice that when there is no codimension-1 branes, standard shape invariance method is applicable (for shape invariance method, see for example [ref] ).
Supersymmetry and Quantum Mechanics · Shape invariance method and graviton mass spectrum for pure $AdS_d/AdS_d+1$ · 0.88
Compares with 2 papers
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Thus, for pure AdS$_d$/AdS$_d+1$, the graviton mass spectrum can be obtained without solving the equation of motion and given by [equation] which coincides with the group theoretical results when $d=4$ [ref] .
Locally Localized Gravity · Shape invariance method and graviton mass spectrum for pure $AdS_d/AdS_d+1$ · 0.99
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The graviton mass is simply given by [equation] On the other hand, the radion mass should read [equation] which coincides with the previous results when $Λ_d<0$ [ref] .
Radion on the de Sitter brane · Spectral pattern of two branes models · 0.80
Cites as background 3 papers
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Supersymmetry structure in braneworld gravity has been already pointed out by several authors and used to analyze the Kaluza–Klein spectrum [ref] .
Universal Aspects of Gravity Localized on Thick Branes · From general coordinate invariance to quantum mechanical supersymmetry · 0.91
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Supersymmetry structure in braneworld gravity has been already pointed out by several authors and used to analyze the Kaluza–Klein spectrum [ref] .
Modeling the fifth dimension with scalars and gravity · From general coordinate invariance to quantum mechanical supersymmetry · 0.91
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Supersymmetry structure in braneworld gravity has been already pointed out by several authors and used to analyze the Kaluza–Klein spectrum [ref] .
A power law for the lowest eigenvalue in localized massive gravity · From general coordinate invariance to quantum mechanical supersymmetry · 0.91
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