Inflating baby-Skyrme branes in six dimensions

Nobuyuki Sawado; T\'erence Delsate; Yuta Kodama; Yves Brihaye

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Inflating baby-Skyrme branes in six dimensions

Yves Brihaye, Térence Delsate, Nobuyuki Sawado, Yuta Kodama

High Energy Physics - Theory · Submitted 5 Jul 2010

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

The authors' main claim Our results indicate that the perturbation equations do not admit localized solutions for certain type of perturbation.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.86 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.06 · mentions code or data availability 0.02.

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We consider a six dimensional brane world model, where the brane is described by a localized solution to the baby-Skyrme model extending in the extradimensions. The branes have a cosmological constant modeled by inflating four dimensional slices and we further consider a bulk cosmological constant. We construct solutions numerically and present evidences that the solutions cease to exist for large values of the brane cosmological constant in some particular case. Then we study the stability of the model by considering perturbation of the gravitational part (resp. baby skyrmion) with fixed matter fields (resp. gravitational background). Our results indicate that the perturbation equations do not admit localized solutions for certain type of perturbation. The stability analysis can be alternatively seen as leading to a particle spectrum; we give mass estimations for the baby-Skyrme perturbation and for the graviton.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We consider a six dimensional brane world model, where the brane is described by a localized solution to the baby-Skyrme model extending in the extradimensions.	contribution 0.59	0.42	0.03	asserted 0.97
s1	The branes have a cosmological constant modeled by inflating four dimensional slices and we further consider a bulk cosmological constant.	method 0.64	0.54	0.04	asserted 0.99
s2	We construct solutions numerically and present evidences that the solutions cease to exist for large values of the brane cosmological constant in some particular case.	result 0.97	0.96	0.34	hedged possibility 0.66
s3	Then we study the stability of the model by considering perturbation of the gravitational part (resp. baby skyrmion) with fixed matter fields (resp. gravitational background).	method 0.80	0.92	0.06	asserted 0.89
s4	Our results indicate that the perturbation equations do not admit localized solutions for certain type of perturbation.	result 1.00	0.94	0.24	hedged possibility 0.88
s5	The stability analysis can be alternatively seen as leading to a particle spectrum; we give mass estimations for the baby-Skyrme perturbation and for the graviton.	interpretation 0.54	0.93	0.19	asserted 0.80

What kind of paper the classifier reports this is: simulation study 0.53 · evidence from simulation or computation 1.00.

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Original abstract

We consider a six dimensional brane world model, where the brane is described by a localized solution to the baby-Skyrme model extending in the extradimensions. The branes have a cosmological constant modeled by inflating four dimensional slices and we further consider a bulk cosmological constant. We construct solutions numerically and present evidences that the solutions cease to exist for large values of the brane cosmological constant in some particular case. Then we study the stability of the model by considering perturbation of the gravitational part (resp. baby skyrmion) with fixed matter fields (resp. gravitational background). Our results indicate that the perturbation equations do not admit localized solutions for certain type of perturbation. The stability analysis can be alternatively seen as leading to a particle spectrum; we give mass estimations for the baby-Skyrme perturbation and for the graviton.

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6 arXiv papers cite this in 12 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 · 7 sentences without a confident label

Cites it as background 5 papers

The localization of particles such as fermions [ref] and a gauge field [ref] on these branes have also been studied.

Non-axisymmetric baby-skyrmion branes · Introduction · 0.95
The equations of motions are extensively described in [ref] so we skip the details.

Localizing modes of massive fermions and a U(1) gauge field in the inflating baby-skyrmion branes · Field equations, boundary conditions and parameters of the model · 0.89
In this approach, the soliton-like solutions are used to simulate the membrane, and several kinds of defects in brane scenarios are considered in the literature [ref] .

A Transfer Matrix Method for Resonances in Randall-Sundrum Models II: The Deformed Case · Introduction · 0.98

What it cites · 16 sentences without a confident label

Uses the method or tool of 2 papers

Eq.([ref]) can be rewritten in the form of a zero-eigenvalue mode Schrödinger equation for the function [equation] namely [equation] where the potential is [equation] Eq.([ref]) can be understood in the context of so called the supersymmetric quantum mechanics [ref] where the function $W(r)$ is identified as the superpotential in the SUSY QM.

Supersymmetry and Quantum Mechanics · Stability of the Baby-skyrmions with fixed gravitational background · 0.80
We follow a scheme employed for the analysis of the six-dimensional Abelian vortex [ref] .

Stability of six-dimensional hyperstring braneworlds · Stability of the Baby-skyrmions with fixed gravitational background · 1.00

Cites as background 21 papers

[ref] ): opened ($β>0$), flat ($β=0$) and closed ($β<0$); all three geometries with angular deficits.

Inflating branes inside abelian strings · Numerical solutions · 0.80
Analysis for gravitating thick defects embedded in higher dimensions are found in the literature; for 5-dimensions [ref] , and for 6-dimensions [ref] .

Stability of six-dimensional hyperstring braneworlds · Introduction · 0.96
Analysis for gravitating thick defects embedded in higher dimensions are found in the literature; for 5-dimensions [ref] , and for 6-dimensions [ref] .

Vector field localization and negative tension branes · Introduction · 0.96

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