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Holographic dual of a boost-invariant plasma with chemical potential
High Energy Physics - Theory · Submitted 9 Dec 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The solution correctly reproduces the energy and charge density as well as the viscosity of the plasma previously computed in the literature.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
We construct a gravity dual of a boost-invariant flow of an N=4 SU(N) supersymmetric Yang-Mills gauge theory plasma with chemical potential. We present both a first-order corrected late-time solution in Eddington-Finkelstein coordinates and a zeroth-order solution in parametric form in Fefferman-Graham coordinates. The resulting background takes the form of a time-dependent AdS Reissner-Nordstroem-type black hole whose horizons move into the bulk of the AdS space. The solution correctly reproduces the energy and charge density as well as the viscosity of the plasma previously computed in the literature.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct a gravity dual of a boost-invariant flow of an N=4 SU(N) supersymmetric Yang-Mills gauge theory plasma with chemical potential. | contribution 1.00 | 0.95 | 0.33 | asserted 1.00 |
| s1 | We present both a first-order corrected late-time solution in Eddington-Finkelstein coordinates and a zeroth-order solution in parametric form in Fefferman-Graham coordinates. | contribution 0.67 | 0.95 | 0.10 | asserted 1.00 |
| s2 | The resulting background takes the form of a time-dependent AdS Reissner-Nordstroem-type black hole whose horizons move into the bulk of the AdS space. | result 0.81 | 0.87 | 0.23 | asserted 1.00 |
| s3 | The solution correctly reproduces the energy and charge density as well as the viscosity of the plasma previously computed in the literature. | result 0.97 | 0.64 | 0.36 | asserted 1.00 |
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The paper
Original abstract
We construct a gravity dual of a boost-invariant flow of an N=4 SU(N) supersymmetric Yang-Mills gauge theory plasma with chemical potential. We present both a first-order corrected late-time solution in Eddington-Finkelstein coordinates and a zeroth-order solution in parametric form in Fefferman-Graham coordinates. The resulting background takes the form of a time-dependent AdS Reissner-Nordstroem-type black hole whose horizons move into the bulk of the AdS space. The solution correctly reproduces the energy and charge density as well as the viscosity of the plasma previously computed in the literature.
Human review
How the literature uses it
7 arXiv papers cite this in 9 sentences
Papers citing it · 8 sentences without a confident label
Uses its method or tool 1 paper
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We obtain the “late-time" geometry of the chirally charged expanding plasma, as done in Ref. [ref] , and we are able to derive analytically the (quasi)-equilibrium formula for the chiral magnetic effect in the expanding plasma:
Chiral Magnetic Effect enhancement at lower collision energies · Discussion and Conclusions · 0.82
What it cites · 29 sentences without a confident label
Builds on 5 papers
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We have thus constructed a natural extension of the first-order corrected boost-invariant plasma geometry of [ref] to the corresponding one with non-trivial $U(1)$ gauge field.
A Holographic Dual of Bjorken Flow · Zeroth-order solution and first-order correction · 1.00
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We have thus constructed a natural extension of the first-order corrected boost-invariant plasma geometry of [ref] to the corresponding one with non-trivial $U(1)$ gauge field.
Consistent holographic description of boost-invariant plasma · Zeroth-order solution and first-order correction · 1.00
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We constructed a natural extension of the late-time boost-invariant background found in [ref] (and [ref] – [ref] ) to a background dual to an expanding $=4$ plasma with chemical potential.
Asymptotic perfect fluid dynamics as a consequence of AdS/CFT · Conclusions · 1.00
Uses the method or tool of 2 papers
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In the following we will compute the first-order corrections directly from our time-dependent solution using holographic renormalization techniques [ref] .
Holographic Renormalization · Transport coefficients from the background · 1.00
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Following [ref] , we choose the small-$z$ expansions [equation] and [equation] Here the lowest coefficients are determined by the energy and charge density, respectively.
Boost-invariant early time dynamics from AdS/CFT · General ansatz and near-boundary behaviour · 0.88
Uses data or values from 2 papers
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Both the Hawking temperature and the chemical potential are given in terms of $r_+$ by [ref] [equation] These relations can be inverted to give $m$ and $q$ as functions of $T$ and $μ$ [ref] , [equation] with [equation]
Fluid dynamics of R-charged black holes · Boosted black brane solution · 0.80
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Both the Hawking temperature and the chemical potential are given in terms of $r_+$ by [ref] [equation] These relations can be inverted to give $m$ and $q$ as functions of $T$ and $μ$ [ref] , [equation] with [equation]
Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes · Boosted black brane solution · 0.80
Compares with 7 papers
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Given that $η_0$ is defined as $η_0=η$, we get the same $η_0$ as in ([ref]) and thus agreement with [ref] .
Fluid dynamics of R-charged black holes · Transport coefficients from the background · 1.00
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This is identical with $η_0^KMNO=1/3w$ found in [ref] since $πΛ=w$ there.] This correction is also in exact agreement with the first-order gradient correction to the energy-momentum tensor computed in [ref] .
A Holographic Dual of Bjorken Flow · Transport coefficients from the background · 0.99
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We have checked that for $_0=0$ (or, equivalently, $_0=0$) the metric reduces to the first-order corrected uncharged solution found in [ref] .
Consistent holographic description of boost-invariant plasma · Zeroth-order solution and first-order correction · 0.97
Cites as background 10 papers
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One line of research within such holographic studies was initiated by Janik and Peschanski [ref] who established a time-dependent gravity dual of the boost-invariant flow of an $= 4$ plasma.
Asymptotic perfect fluid dynamics as a consequence of AdS/CFT · Introduction · 0.91
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Also the transport coefficients of plasmas with $U(1)$ currents have already been holographically computed in [ref] – [ref] (up to second order).
Fluid dynamics of R-charged black holes · Introduction · 0.89
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Also the transport coefficients of plasmas with $U(1)$ currents have already been holographically computed in [ref] – [ref] (up to second order).
Relativistic Hydrodynamics with General Anomalous Charges · Introduction · 0.89
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