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Holography and $AdS_4$ self-gravitating dyons
High Energy Physics - Theory · Submitted 8 Jul 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In particular we identify an order operator, characterize a phase transition of the dual theory on the border and also compute the expectation value of the finite temperature Wilson loop.
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The abstract, sentence by sentence
We present a self-gravitating dyon solution of the Einstein-Yang-Mills-Higgs equations of motion in asymptotically AdS space. The back reaction of gauge and Higgs fields on the space-time geometry leads to the metric of an asymptotically AdS black hole. Using the gauge/gravity correspondence we analyze relevant properties of the finite temperature quantum field theory defined on the boundary. In particular we identify an order operator, characterize a phase transition of the dual theory on the border and also compute the expectation value of the finite temperature Wilson loop.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a self-gravitating dyon solution of the Einstein-Yang-Mills-Higgs equations of motion in asymptotically AdS space. | contribution 0.96 | 0.96 | 0.35 | asserted 1.00 |
| s1 | The back reaction of gauge and Higgs fields on the space-time geometry leads to the metric of an asymptotically AdS black hole. | result 0.93 | 0.86 | 0.19 | asserted 1.00 |
| s2 | Using the gauge/gravity correspondence we analyze relevant properties of the finite temperature quantum field theory defined on the boundary. | method 0.64 | 0.92 | 0.11 | asserted 0.98 |
| s3 | In particular we identify an order operator, characterize a phase transition of the dual theory on the border and also compute the expectation value of the finite temperature Wilson loop. | result 0.85 | 0.95 | 0.35 | asserted 1.00 |
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The paper
Original abstract
We present a self-gravitating dyon solution of the Einstein-Yang-Mills-Higgs equations of motion in asymptotically AdS space. The back reaction of gauge and Higgs fields on the space-time geometry leads to the metric of an asymptotically AdS black hole. Using the gauge/gravity correspondence we analyze relevant properties of the finite temperature quantum field theory defined on the boundary. In particular we identify an order operator, characterize a phase transition of the dual theory on the border and also compute the expectation value of the finite temperature Wilson loop.
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How the literature uses it
8 arXiv papers cite this in 18 sentences
Papers citing it · 13 sentences without a confident label
Compares with it 1 paper
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When this work was completed, a paper by Lugo, Moreno, and Schaposnik appeared [ref] , with similar considerations, related to their previous solution and in the context of the noncompact boundary of $R^2$ in place of $S^2$.
Holographic Phase Transition to Topological Dyons · Introduction · 0.91
Cites it as background 3 papers
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Several models with scalar and gauge fields in a bulk which corresponds asymptotically to an AdS black hole metric have been studied [ref] – [ref] .
A Note on Holography and Phase Transitions · Introduction · 0.97
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In [ref] and [ref] solutions to ([ref])-([ref]) with a horizon and asymptotically $AdS_4$ were studied.
Holographic phase transitions from higgsed, non abelian charged black holes · Boundary conditions · 0.86
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Holographic phase transitions for AdS monopoles have been investigated in [ref] .
A falling magnetic monopole as a holographic local quench · Introduction · 1.00
What it cites · 25 sentences without a confident label
Uses the method or tool of 3 papers
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[ref] , we consider the change of variables
Holographic phase transition from dyons in an AdS black hole background · From $𝐒^2$ to $𝐑^2$ · 0.92
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On this basis, following the gravity/gauge duality approach [ref] - [ref] , we shall compute the Wilson loop for such gauge fields in $2+1$ dimensions in terms of the Nambu-Goto action for the string world sheet defined from the metric solution found in the precedent section.
Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity · The Wilson loop · 0.87
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On this basis, following the gravity/gauge duality approach [ref] - [ref] , we shall compute the Wilson loop for such gauge fields in $2+1$ dimensions in terms of the Nambu-Goto action for the string world sheet defined from the metric solution found in the precedent section.
Wilson loops in large N field theories · The Wilson loop · 0.87
Compares with 2 papers
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[ref] where the Yang-Mills-Higgs system is studied in an AdS black hole background.
Holographic phase transition from dyons in an AdS black hole background · Holographic correspondence at finite temperature · 1.00
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One can see in figure 6 that there exists a maximal distance $l_max$ between the quark-anti-quark pair, a phenomenon already found in the study of the finite temperature Wilson line in the large $N$ limit of $U(N)$ $N = 4$ Super Yang-Mills theory in 4 dimensions [ref] - [ref] .
Wilson-Polyakov Loop at Finite Temperature in Large N Gauge Theory and Anti-de Sitter Supergravity · The Wilson loop · 0.98
Cites as background 5 papers
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The AdS/CFT correspondence [ref] - [ref] originally proposed to connect gauge and string theories has recently became a powerful tool to study strong coupling physics in systems of interest in quantum field theory and condensed matter physics from the analysis of the low energy approximation of string theories, namely gravitational theories [ref] - [ref] (for references on recent progress see for example [ref] ).
Holographic Superconductors · Introduction · 1.00
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The AdS/CFT correspondence [ref] - [ref] originally proposed to connect gauge and string theories has recently became a powerful tool to study strong coupling physics in systems of interest in quantum field theory and condensed matter physics from the analysis of the low energy approximation of string theories, namely gravitational theories [ref] - [ref] (for references on recent progress see for example [ref] ).
Introduction to Holographic Superconductors · Introduction · 1.00
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The AdS/CFT correspondence [ref] - [ref] originally proposed to connect gauge and string theories has recently became a powerful tool to study strong coupling physics in systems of interest in quantum field theory and condensed matter physics from the analysis of the low energy approximation of string theories, namely gravitational theories [ref] - [ref] (for references on recent progress see for example [ref] ).
Phase transitions near black hole horizons · Introduction · 1.00
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