Relic of the Kink Shape Mode in a Topological Thick Brane - some implications
Abstract
The kink soliton provides a simple construction of a topological thick 3-brane sourced by a minimally coupled canonical scalar field in five-dimensional general relativity. Although the flat-space kink is a solution of φ4 theory, the gravitating configuration requires M*-suppressed φ6 corrections to support a stable warped geometry. Unlike its flat-space counterpart, the scalar perturbation spectrum contains no normalizable bound state. We nevertheless identify a single quasi-bound, or resonant, mode. Using a time-independent relative-probability analysis, direct time evolution, and a four-turning-point WKB calculation, we establish a direct connection between this resonance and the massive bound shape mode of the flat-space φ4 kink. We also show that, within an EFT-consistent parameter window, the resonance can transfer energy from bulk geometric fluctuations to localized matter, thereby allowing the possibility of high-scale reheating in the early universe.
Related
- Localization of Vector and Fermion Fields on a Thick Brane with a Lump-type Scalar Background
- Density-Selected Topological Pathways in the Melting of Single-Particle-Thick Stripes
- Photoresponse properties of single-crystalline thick film based on high-entropy topological insulator (Bi3/4Sb1/4)2(Te2/5Se2/5S1/5)3
- Static Magnetic Brane Solutions in Quartic Quasi-Topological Gravity with Power-Law Maxwell Nonlinear Electrodynamics
- Thick-target Yield of 65Cu(α,n)68Ga Near Threshold and Implications for Nuclear Medicine, Deep Underground Detector Backgrounds, and Nucleosynthesis
BibTeX
@misc{chattopadhyay2026relic,
title = {{Relic of the Kink Shape Mode in a Topological Thick Brane - some implications}},
author = {Gahan Chattopadhyay and Soumitra Sengupta},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.37346},
eprint = {2609.37346},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37346},
}
RIS
TY - UNPB
TI - Relic of the Kink Shape Mode in a Topological Thick Brane - some implications
AU - Gahan Chattopadhyay
AU - Soumitra Sengupta
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.37346
UR - https://arxiv.org/abs/2609.37346
AB - The kink soliton provides a simple construction of a topological thick 3-brane sourced by a minimally coupled canonical scalar field in five-dimensional general relativity. Although the flat-space kink is a solution of φ^4 theory, the gravitating configuration requires M_*-suppressed φ^6 corrections to support a stable warped geometry. Unlike its flat-space counterpart, the scalar perturbation spectrum contains no normalizable bound state. We nevertheless identify a single quasi-bound, or resonant, mode. Using a time-independent relative-probability analysis, direct time evolution, and a four-turning-point WKB calculation, we establish a direct connection between this resonance and the massive bound shape mode of the flat-space φ^4 kink. We also show that, within an EFT-consistent parameter window, the resonance can transfer energy from bulk geometric fluctuations to localized matter, thereby allowing the possibility of high-scale reheating in the early universe.
ER -