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Doppelganger defects
High Energy Physics - Theory · Submitted 20 Jul 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Despite investigating several examples, we are unable to find doppelganger cosmic strings, hence the existence of doppelgangers for defects with codimension >1 remains an open question.
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The abstract, sentence by sentence
We study k-defects - topological defects in theories with more than two derivatives and second-order equations of motion - and describe some striking ways in which these defects both resemble and differ from their analogues in canonical scalar field theories. We show that, for some models, the homotopy structure of the vacuum manifold is insufficient to establish the existence of k-defects, in contrast to the canonical case. These results also constrain certain families of DBI instanton solutions in the 4-dimensional effective theory. We then describe a class of k-defect solutions, which we dub doppelgangers, that precisely match the field profile and energy density of their canonical scalar field theory counterparts. We give a complete characterization of Lagrangians which admit doppelganger domain walls. By numerically computing the fluctuation eigenmodes about domain wall solutions, we find different spectra for doppelgangers and canonical walls, allowing us to distinguish between k-defects and the canonical walls they mimic. We search for doppelgangers for cosmic strings by numerically constructing solutions of DBI and canonical scalar field theories. Despite investigating several examples, we are unable to find doppelganger cosmic strings, hence the existence of doppelgangers for defects with codimension >1 remains an open question.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study k-defects - topological defects in theories with more than two derivatives and second-order equations of motion - and describe some striking ways in which these defects both resemble and differ from their analogues in canonical scalar field theories. | contribution 0.90 | 0.88 | 0.08 | asserted 0.98 |
| s1 | We show that, for some models, the homotopy structure of the vacuum manifold is insufficient to establish the existence of k-defects, in contrast to the canonical case. | result 0.99 | 0.94 | 0.16 | asserted 0.98 |
| s2 | These results also constrain certain families of DBI instanton solutions in the 4-dimensional effective theory. | interpretation 0.82 | 0.71 | 0.06 | asserted 0.87 |
| s3 | We then describe a class of k-defect solutions, which we dub doppelgangers, that precisely match the field profile and energy density of their canonical scalar field theory counterparts. | contribution 0.69 | 0.93 | 0.32 | asserted 1.00 |
| s4 | We give a complete characterization of Lagrangians which admit doppelganger domain walls. | contribution 0.61 | 0.95 | 0.13 | asserted 1.00 |
| s5 | By numerically computing the fluctuation eigenmodes about domain wall solutions, we find different spectra for doppelgangers and canonical walls, allowing us to distinguish between k-defects and the canonical walls they mimic. | result 0.95 | 0.97 | 0.16 | asserted 1.00 |
| s6 | We search for doppelgangers for cosmic strings by numerically constructing solutions of DBI and canonical scalar field theories. | method 0.55 | 0.96 | 0.03 | asserted 0.94 |
| s7 | Despite investigating several examples, we are unable to find doppelganger cosmic strings, hence the existence of doppelgangers for defects with codimension >1 remains an open question. | limitation 0.53 | 0.96 | 0.29 | asserted 0.88 |
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Original abstract
We study k-defects - topological defects in theories with more than two derivatives and second-order equations of motion - and describe some striking ways in which these defects both resemble and differ from their analogues in canonical scalar field theories. We show that, for some models, the homotopy structure of the vacuum manifold is insufficient to establish the existence of k-defects, in contrast to the canonical case. These results also constrain certain families of DBI instanton solutions in the 4-dimensional effective theory. We then describe a class of k-defect solutions, which we dub doppelgangers, that precisely match the field profile and energy density of their canonical scalar field theory counterparts. We give a complete characterization of Lagrangians which admit doppelganger domain walls. By numerically computing the fluctuation eigenmodes about domain wall solutions, we find different spectra for doppelgangers and canonical walls, allowing us to distinguish between k-defects and the canonical walls they mimic. We search for doppelgangers for cosmic strings by numerically constructing solutions of DBI and canonical scalar field theories. Despite investigating several examples, we are unable to find doppelganger cosmic strings, hence the existence of doppelgangers for defects with codimension >1 remains an open question.
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References
How the literature uses it
8 arXiv papers cite this in 11 sentences
Papers citing it · 5 sentences without a confident label
Cites it as background 6 papers
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Models with this feature are called the twinlike models, which were first observed in [ref] , and later developed in [ref] .
$K$-field kinks: stability, exact solutions and new features · Type II models · 0.92
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In 2010, a new interesting application of K-field was reported in Ref. [ref] .
Cosmological twinlike models with multi scalar fields · Introduction · 0.87
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The DBI action encodes the lowest order dynamics of a brane embedded in higher dimensions, and provides an important arena within which to study inflation [ref] , late-time cosmic acceleration [ref] , tunneling [ref] , and exotic topological defects [ref] .
Symmetries for Galileons and DBI scalars on curved space · Introduction and Summary · 0.95
What it cites · 8 sentences without a confident label
Cites as background 17 papers
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The topological defects present in this general class of theories are often termed “$k$-defects," and some aspects of these objects have been studied in earlier works [ref] .
Gravitating Global k-monopole · Introduction · 0.96
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The topological defects present in this general class of theories are often termed “$k$-defects," and some aspects of these objects have been studied in earlier works [ref] .
k-defects as compactons · Introduction · 0.96
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The topological defects present in this general class of theories are often termed “$k$-defects," and some aspects of these objects have been studied in earlier works [ref] .
DBI Global Strings · Introduction · 0.96
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