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Entrapment of a Network of Domain Walls
High Energy Physics - Theory · Submitted 4 May 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The field that governs the Z_2 symmetry generates a domain wall, and entraps the hexagonal network formed by the three-junctions of the model of two scalar fields that describes the remaining Z_3 symmetry.
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The abstract, sentence by sentence
We explore the idea of a network of defects to live inside a domain wall in models of three real scalar fields, engendering the Z_2 x Z_3 symmetry. The field that governs the Z_2 symmetry generates a domain wall, and entraps the hexagonal network formed by the three-junctions of the model of two scalar fields that describes the remaining Z_3 symmetry. If the host domain wall bends to the spherical form, in the thin wall approximation there may appear non-topological structures hosting networks that accept diverse patterns. If Z_3 is also broken, the model may generate a buckyball containing sixty junctions, a fullerene-like structure. Applications to cosmology are outlined.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We explore the idea of a network of defects to live inside a domain wall in models of three real scalar fields, engendering the Z_2 x Z_3 symmetry. | contribution 0.99 | 0.73 | 0.11 | speculative 0.61 |
| s1 | The field that governs the Z_2 symmetry generates a domain wall, and entraps the hexagonal network formed by the three-junctions of the model of two scalar fields that describes the remaining Z_3 symmetry. | contribution 0.51 | 0.54 | 0.37 | asserted 1.00 |
| s2 | If the host domain wall bends to the spherical form, in the thin wall approximation there may appear non-topological structures hosting networks that accept diverse patterns. | result 0.88 | 0.50 | 0.11 | hedged possibility 1.00 |
| s3 | If Z_3 is also broken, the model may generate a buckyball containing sixty junctions, a fullerene-like structure. | result 0.90 | 0.57 | 0.13 | hedged possibility 1.00 |
| s4 | Applications to cosmology are outlined. | future work 0.54 | 0.41 | 0.04 | asserted 0.67 |
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Original abstract
We explore the idea of a network of defects to live inside a domain wall in models of three real scalar fields, engendering the Z_2 x Z_3 symmetry. The field that governs the Z_2 symmetry generates a domain wall, and entraps the hexagonal network formed by the three-junctions of the model of two scalar fields that describes the remaining Z_3 symmetry. If the host domain wall bends to the spherical form, in the thin wall approximation there may appear non-topological structures hosting networks that accept diverse patterns. If Z_3 is also broken, the model may generate a buckyball containing sixty junctions, a fullerene-like structure. Applications to cosmology are outlined.
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Other investigations have dealt with the presence of junctions and/or intersections of defects [ref] , and with issues related to composite-kink internal structures, twinlike models with several fields and scalar triplet on domain walls [ref] , among other issues.
Scattering of kinks of the sinh-deformed $\varphi^4$ model · Introduction · 0.97
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