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Thermal string probes in AdS and finite temperature Wilson loops
High Energy Physics - Theory · Submitted 23 Jan 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim As a result of our analysis we find a new term in the potential between static quarks in the symmetric representation which for sufficiently small temperatures is the leading correction to the Coulomb force potential.
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The abstract, sentence by sentence
We apply a new description of thermal fundamental string probes to the study of finite temperature Wilson loops in the context of the AdS/CFT correspondence. Previously this problem has been considered using extremal probes even though the background is at finite temperature. The new description of fundamental string probes is based on the blackfold approach. As a result of our analysis we find a new term in the potential between static quarks in the symmetric representation which for sufficiently small temperatures is the leading correction to the Coulomb force potential. We also find an order 1/N correction to the onset of the Debye screening of the quarks. These effects arise from including the thermal excitations of the string probe and demanding the probe to be in thermodynamic equilibrium with the Anti-de Sitter black hole background.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We apply a new description of thermal fundamental string probes to the study of finite temperature Wilson loops in the context of the AdS/CFT correspondence. | contribution 0.99 | 0.93 | 0.06 | asserted 0.98 |
| s1 | Previously this problem has been considered using extremal probes even though the background is at finite temperature. | background 0.75 | 0.04 | 0.02 | asserted 1.00 |
| s2 | The new description of fundamental string probes is based on the blackfold approach. | method 0.97 | 0.31 | 0.03 | asserted 1.00 |
| s3 | As a result of our analysis we find a new term in the potential between static quarks in the symmetric representation which for sufficiently small temperatures is the leading correction to the Coulomb force potential. | result 1.00 | 0.97 | 0.63 | asserted 1.00 |
| s4 | We also find an order 1/N correction to the onset of the Debye screening of the quarks. | result 1.00 | 0.96 | 0.11 | asserted 1.00 |
| s5 | These effects arise from including the thermal excitations of the string probe and demanding the probe to be in thermodynamic equilibrium with the Anti-de Sitter black hole background. | interpretation 0.80 | 0.75 | 0.10 | asserted 1.00 |
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The paper
Original abstract
We apply a new description of thermal fundamental string probes to the study of finite temperature Wilson loops in the context of the AdS/CFT correspondence. Previously this problem has been considered using extremal probes even though the background is at finite temperature. The new description of fundamental string probes is based on the blackfold approach. As a result of our analysis we find a new term in the potential between static quarks in the symmetric representation which for sufficiently small temperatures is the leading correction to the Coulomb force potential. We also find an order 1/N correction to the onset of the Debye screening of the quarks. These effects arise from including the thermal excitations of the string probe and demanding the probe to be in thermodynamic equilibrium with the Anti-de Sitter black hole background.
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References
How the literature uses it
19 arXiv papers cite this in 48 sentences
Papers citing it · 23 sentences without a confident label
Builds on it 2 papers
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We then review how this method was applied in order to construct black strings in AdS$_5×S^5$ in the deconfined phase dual to finite temperature Wilson loops [ref] and generalise this construction to the confined phase.
Black Probes of Schr\"{o}dinger Spacetimes · Black strings in Anti-de Sitter · 0.95
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In this section, which generalizes [ref] , we use the blackfold approach to study the orthogonal QQ̄ Wilson loop in a generic background.
Tension of Confining Strings at Low Temperature · $k$ F-Strings in Blackfold Approach · 0.98
Uses its method or tool 1 paper
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We now follow the prescription of [ref] and choose a static string embedding ($p=1$, $n=6$) with its endpoints on a boundary spatial direction separated by a length $L$, at the locations $x_1=0$ and $x_1=L$, and stretched into the bulk along the $z$-direction.
Black Probes of Schr\"{o}dinger Spacetimes · Embedding and solution · 0.94
Compares with it 4 papers
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Applying our generic equations l1 and ob to the background metrics1, we obtain the deconfined results also obtained in [ref]
Tension of Confining Strings at Low Temperature · Thermal Excitations in the Non-Confining phase · 1.00
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In the case $γ=1$, this agrees with the result found in [ref] while in the case $γ=0$, and hence $f(σ)→1$, we obtain x'(σ)|_γ=0=(G(σ)^2/G(σ_0)^2-1)^-1/2 , G(σ)|_γ=0=R^8/σ^81+6sinh^2α/cosh^6α .
Black Probes of Schr\"{o}dinger Spacetimes · Embedding and solution · 0.96
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Note that the fact that the thermal giant graviton attains a minimal possible size has an analogue in the thermal BIon as well as in the thermal Wilson line cases studied in [ref] .
Thermal Giant Gravitons · Parameterization of thermal giant graviton solution · 0.96
Cites it as background 6 papers
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Recently a new method for thermal probe branes, based on the blackfold approach [ref] , has been developed and applied to various cases of interest [ref] .
Null-Wave Giant Gravitons from Thermal Spinning Brane Probes · Introduction · 0.83
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[For work on using thermal effective actions for branes to probe thermal backgrounds see [ref] for the construction of a thermal BIon solution which can be found using the strongly coupled thermal DBI action for the D3-brane, see [ref] for an M5-M2-brane generalization and see [ref] for $k$ fundamental strings probing $_5×S^5$ with a black hole corresponding to a solution of what one can call a strongly coupled thermal Nambu-Goto action.
Thermal DBI action for the D3-brane at weak and strong coupling · Introduction, summary and conclusions · 0.80
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This describes the onset of the Debye screening effect.[See Ref. [ref] for a detailed description of the deconfined phase.]
Black Probes of Schr\"{o}dinger Spacetimes · Comparison between phases · 0.99
What it cites · 31 sentences without a confident label
Uses the method or tool of 8 papers
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In this approach we use the supergravity (SUGRA) solution for a non-extremal F-string to describe a finite temperature Wilson loop by employing the blackfold methods developed in [ref] [Ref. [ref] discusses the first application to neutral black rings in asymptotically flat space and large classes of new neutral black objects in asymptotically flat and $(A)dS$ backgrounds were found in [ref] and [ref] respectively.
The Phase Structure of Higher-Dimensional Black Rings and Black Holes · Introduction · 0.98
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In this approach we use the supergravity (SUGRA) solution for a non-extremal F-string to describe a finite temperature Wilson loop by employing the blackfold methods developed in [ref] [Ref. [ref] discusses the first application to neutral black rings in asymptotically flat space and large classes of new neutral black objects in asymptotically flat and $(A)dS$ backgrounds were found in [ref] and [ref] respectively.
Black Rings in (Anti)-deSitter space · Introduction · 0.98
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In this approach we use the supergravity (SUGRA) solution for a non-extremal F-string to describe a finite temperature Wilson loop by employing the blackfold methods developed in [ref] [Ref. [ref] discusses the first application to neutral black rings in asymptotically flat space and large classes of new neutral black objects in asymptotically flat and $(A)dS$ backgrounds were found in [ref] and [ref] respectively.
World-Volume Effective Theory for Higher-Dimensional Black Holes · Introduction · 0.98
Compares with 3 papers
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This matches with the result found in Refs. [ref] using the extremal F-string probe in the $$ Poincaré black hole background. $LT$ also exhibits a maximum in this case: Its value is $L_max T ≃0.277$ and it is reached for $σ̂_0 ≃0.85$.
Wilson Loops in the Large N Limit at Finite Temperature · Finite $LT$ and Debye screening of charges · 0.88
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Finally, we note that the thermal effects observed in the system studied in this paper, bear some resemblance to those found for the thermal BIon studied in Refs. [ref] .
Thermodynamics of the hot BIon · Finite $LT$ and Debye screening of charges · 1.00
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Finally, we note that the thermal effects observed in the system studied in this paper, bear some resemblance to those found for the thermal BIon studied in Refs. [ref] .
Heating up the BIon · Finite $LT$ and Debye screening of charges · 1.00
Cites as background 6 papers
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In the AdS/CFT correspondence a Wilson loop is dual to a fundamental string (F-string) probe with its world-sheet extending into the bulk of Anti-de Sitter space (AdS) and ending at the location of the loop on the boundary of AdS [ref] .
Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity · Introduction · 0.99
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[This has led to an impressive weak-strong coupling interpolation of circular Wilson loops [ref] .] However, for finite temperature gauge theory the F-string is probing a finite temperature space-time such as an AdS black hole.
Wilson Loops in N=4 Supersymmetric Yang--Mills Theory · Introduction · 0.84
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For reviews see [ref] .
Blackfolds · Introduction · 0.94
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