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Some Properties of Domain Wall Solution in the Randall-Sundrum Model

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Shoichi Ichinose

High Energy Physics - Theory · Submitted 30 Jul 2001

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

The authors' main claim We can regard the domain wall solution as a singularity resolution of the exact solutions.

how it is stated · hedged possibility 0.75 read the record →

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arXiv IDhep-th/0107254 (version 2)
Pith ID6V4KOTER, Pith's permanent record of this paper and its review
CitationShoichi Ichinose. "Some Properties of Domain Wall Solution in the Randall-Sundrum Model." arXiv:hep-th/0107254 (2001). https://pith.science/paper/6V4KOTER
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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,497 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.47 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.27 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Properties of the domain wall (kink) solution in the 5 dimensional Randall-Sundrum model are examined both {\it analytically} and {\it numerically}. The configuration is derived by the bulk Higgs mechanism. We focus on 1) the convergence property of the solution, 2) the stableness of the solution, 3) the non-singular property of the Riemann curvature, 4) the behaviours of the warp factor and the Higgs field. It is found that the bulk curvature changes the sign around the surface of the wall. We also present some {\it exact} solutions for two simple cases: a) the no potential case, b) the cosmological term dominated case. Both solutions have the (naked) curvature singularity. We can regard the domain wall solution as a singularity resolution of the exact solutions.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Properties of the domain wall (kink) solution in the 5 dimensional Randall-Sundrum model are examined both {\it analytically} and {\it numerically}. contribution 0.90 0.93 0.04 asserted 0.93
s1 The configuration is derived by the bulk Higgs mechanism. method 0.87 0.74 0.03 asserted 1.00
s2 We focus on 1) the convergence property of the solution, 2) the stableness of the solution, 3) the non-singular property of the Riemann curvature, 4) the behaviours of the warp factor and the Higgs field. contribution 0.96 0.79 0.05 asserted 0.52
s3 It is found that the bulk curvature changes the sign around the surface of the wall. result 1.00 0.94 0.23 asserted 1.00
s4 We also present some {\it exact} solutions for two simple cases: a) the no potential case, b) the cosmological term dominated case. contribution 0.90 0.94 0.05 asserted 1.00
s5 Both solutions have the (naked) curvature singularity. result 1.00 0.81 0.11 asserted 1.00
s6 We can regard the domain wall solution as a singularity resolution of the exact solutions. interpretation 1.00 0.79 0.58 hedged possibility 0.75

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.94.

What was examined, and what was not

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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Properties of the domain wall (kink) solution in the 5 dimensional Randall-Sundrum model are examined both {\it analytically} and {\it numerically}. The configuration is derived by the bulk Higgs mechanism. We focus on 1) the convergence property of the solution, 2) the stableness of the solution, 3) the non-singular property of the Riemann curvature, 4) the behaviours of the warp factor and the Higgs field. It is found that the bulk curvature changes the sign around the surface of the wall. We also present some {\it exact} solutions for two simple cases: a) the no potential case, b) the cosmological term dominated case. Both solutions have the (naked) curvature singularity. We can regard the domain wall solution as a singularity resolution of the exact solutions.

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