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Thermal Giant Gravitons
High Energy Physics - Theory · Submitted 11 Jul 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find several interesting new effects, including that the thermal giant graviton has a minimal possible value for the angular momentum and correspondingly also a minimal possible radius of the S^3.
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The abstract, sentence by sentence
We study the giant graviton solution as the AdS_5 X S^5 background is heated up to finite temperature. The analysis employs the thermal brane probe technique based on the blackfold approach. We focus mainly on the thermal giant graviton corresponding to a thermal D3-brane probe wrapped on an S^3 moving on the S^5 of the background at finite temperature. We find several interesting new effects, including that the thermal giant graviton has a minimal possible value for the angular momentum and correspondingly also a minimal possible radius of the S^3. We compute the free energy of the thermal giant graviton in the low temperature regime, which potentially could be compared to that of a thermal state on the gauge theory side. Moreover, we analyze the space of solutions and stability of the thermal giant graviton and find that, in parallel with the extremal case, there are two available solutions for a given temperature and angular momentum, one stable and one unstable. In order to write down the equations of motion, action and conserved charges for the thermal giant graviton we present a slight generalization of the blackfold formalism for charged black branes. Finally, we also briefly consider the thermal giant graviton moving in the AdS_5 part.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the giant graviton solution as the AdS_5 X S^5 background is heated up to finite temperature. | contribution 0.87 | 0.88 | 0.04 | asserted 0.86 |
| s1 | The analysis employs the thermal brane probe technique based on the blackfold approach. | method 1.00 | 0.67 | 0.02 | asserted 0.99 |
| s2 | We focus mainly on the thermal giant graviton corresponding to a thermal D3-brane probe wrapped on an S^3 moving on the S^5 of the background at finite temperature. | contribution 0.93 | 0.63 | 0.06 | asserted 0.96 |
| s3 | We find several interesting new effects, including that the thermal giant graviton has a minimal possible value for the angular momentum and correspondingly also a minimal possible radius of the S^3. | result 1.00 | 0.97 | 0.46 | asserted 1.00 |
| s4 | We compute the free energy of the thermal giant graviton in the low temperature regime, which potentially could be compared to that of a thermal state on the gauge theory side. | result 0.54 | 0.96 | 0.07 | hedged possibility 0.67 |
| s5 | Moreover, we analyze the space of solutions and stability of the thermal giant graviton and find that, in parallel with the extremal case, there are two available solutions for a given temperature and angular momentum, one stable and one unstable. | result 0.98 | 0.97 | 0.23 | asserted 1.00 |
| s6 | In order to write down the equations of motion, action and conserved charges for the thermal giant graviton we present a slight generalization of the blackfold formalism for charged black branes. | method 0.92 | 0.90 | 0.03 | asserted 1.00 |
| s7 | Finally, we also briefly consider the thermal giant graviton moving in the AdS_5 part. | contribution 0.91 | 0.87 | 0.03 | asserted 0.90 |
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The paper
Original abstract
We study the giant graviton solution as the AdS_5 X S^5 background is heated up to finite temperature. The analysis employs the thermal brane probe technique based on the blackfold approach. We focus mainly on the thermal giant graviton corresponding to a thermal D3-brane probe wrapped on an S^3 moving on the S^5 of the background at finite temperature. We find several interesting new effects, including that the thermal giant graviton has a minimal possible value for the angular momentum and correspondingly also a minimal possible radius of the S^3. We compute the free energy of the thermal giant graviton in the low temperature regime, which potentially could be compared to that of a thermal state on the gauge theory side. Moreover, we analyze the space of solutions and stability of the thermal giant graviton and find that, in parallel with the extremal case, there are two available solutions for a given temperature and angular momentum, one stable and one unstable. In order to write down the equations of motion, action and conserved charges for the thermal giant graviton we present a slight generalization of the blackfold formalism for charged black branes. Finally, we also briefly consider the thermal giant graviton moving in the AdS_5 part.
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References
How the literature uses it
17 arXiv papers cite this in 80 sentences
Papers citing it · 44 sentences without a confident label
Builds on it 1 paper
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In the process we will also generalize the results of [ref] to M-theory, as we will treat the D3, M2 and M5-brane cases in parallel.
Null-Wave Giant Gravitons from Thermal Spinning Brane Probes · Introduction · 1.00
Uses its method or tool 3 papers
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Using the formulae for thermodynamic quantities given in [ref] and Eq. [ref] for the spin of the configuration we obtain the following off-shell expressions[Here we have introduced the ratio $r̂=r/L̃$ as well as the rescaled quantities E=E/Ω_(m-2)Q_(m-2)L̃^m-2 , J=J/Ω_(m-2)Q_(m-2)L̃^m-2L , 𝒮=𝒮/Ω_(m-2)Q_(m-2)L̃^m-1 . ] E=1/ω̂R_0^2(1+𝒫ω̂^2r̂^2)r̂^m-3-r̂^m-1 , T̂S=0 , J=1/ω̂√(1+r̂^2(1-ω̂^2))(1+𝒫ω̂^2r̂^2)r̂^m-3 , 𝒮_i=2/n-1𝒫ω̂^2r̂^m+1 .
Null-Wave Giant Gravitons from Thermal Spinning Brane Probes · Thermodynamic properties and stability · 0.86
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In this section we begin by reviewing the black probe method based on the blackfold approach for supergravity and M-theory developed in [ref] which allows us to perturbatively construct the black hole configurations presented throughout this work.
Black Probes of Schr\"{o}dinger Spacetimes · Black strings in Anti-de Sitter · 0.99
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This can be done by requiring diffeomorphism invariance of the effective action along Killing directions as in [ref] , or by direct manipulation of the blackfold equations [ref] as in [ref] .
Thermal transitions of metastable M-branes · Note on Smarr relations · 0.97
Compares with it 4 papers
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Here we reparameterize the equations of motion and solution space of Sec. [ref] such that the connection with the solution space of the non-spinning thermal giant graviton found in [ref] is more apparent.
Null-Wave Giant Gravitons from Thermal Spinning Brane Probes · Alternative parameterization of solution space · 0.81
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Furthermore, the fluid obeys “free" dynamics, in the sense that the force term does not play a role and therefore both the equilibrium condition and the thermodynamics do not change compared with the flat space case, in contrast with the thermal and spinning giant graviton solutions of [ref] .
New asymptotically (Anti)-de Sitter black holes in (super)gravity · Odd-sphere solutions · 1.00
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Note that in the case $J^μν_(1)=0$ for which the brane is infinitely thin, the equation of motion [ref] reduces to that obtained previously in the literature using the same method [ref] .
Electroelasticity of Charged Black Branes · Equations of motion for branes carrying Maxwell charge · 0.84
Cites it as background 5 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 explicit examples of non-extremal brane actions see [ref] .], I[X^μ]=∫_𝒲_p+1ℒ(√(-γ),k)=∫_𝒲_p+1d^p+1σ√(-γ) λ_0(k) .
How Fluids Bend: the Elastic Expansion for Higher-Dimensional Black Holes · 0th order fluid-elastic system · 0.85
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Preliminary aspects of black brane solutions in AdS spacetimes have been studied in [ref] (see also [ref] ).
Forced Fluid Dynamics from Blackfolds in General Supergravity Backgrounds · Forced blackfold equations in (super)gravity · 0.91
What it cites · 53 sentences without a confident label
Builds on 2 papers
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This natural generalization of the blackfold action to include background fluxes, easily follows form the derivations presented in Refs. [ref] .
Essentials of Blackfold Dynamics · Action and thermodynamics · 0.82
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This natural generalization of the blackfold action to include background fluxes, easily follows form the derivations presented in Refs. [ref] .
Blackfolds in Supergravity and String Theory · Action and thermodynamics · 0.82
Uses the method or tool of 6 papers
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Following [ref] one can then show that the DBI action can equivalently be written as I_DBI=1/2∫dτ(G_μν ẋ^μ ẋ^ν/e+Ω^2(L^2-r^2)/e-m^2e+ m^2rΩ) , where we have defined $m= N r^3/L^4$ and $e$ is an einbein which acts as a Lagrangian multiplier.
Multi giant graviton systems, SUSY breaking and CFT · Two-point correlation functions · 0.87
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The thermal giant gravitons are described using black D3-brane probes as described by the blackfold approach [ref] .
World-Volume Effective Theory for Higher-Dimensional Black Holes · Discussion and outlook · 0.91
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The thermal giant gravitons are described using black D3-brane probes as described by the blackfold approach [ref] .
Essentials of Blackfold Dynamics · Discussion and outlook · 0.91
Compares with 3 papers
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This is analogous to what happens in the thermal BIon case where the throat of the brane - made of a D3-brane wrapped on an $S^2$ - has a minimal possible radius [ref] .
Heating up the BIon · Introduction · 0.99
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This is analogous to what happens in the thermal BIon case where the throat of the brane - made of a D3-brane wrapped on an $S^2$ - has a minimal possible radius [ref] .
Thermodynamics of the hot BIon · Introduction · 0.99
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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 string probes in AdS and finite temperature Wilson loops · Parameterization of thermal giant graviton solution · 0.96
Cites as support 1 paper
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It is important to note that the correct result is reproduced here using the Routhian, and not the action, as was also advocated recently in [ref] .
Holographic Correlation Functions for Open Strings and Branes · Two-point correlation functions · 0.96
Cites as background 5 papers
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Reviews include [ref] and [ref] gives a more general derivation of the blackfold effective theory.] in the context of string/M-theory branes [ref] .
Heating up the BIon · Introduction · 0.80
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Reviews include [ref] and [ref] gives a more general derivation of the blackfold effective theory.] in the context of string/M-theory branes [ref] .
Higher-dimensional Rotating Charged Black Holes · Introduction · 0.80
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Reviews include [ref] and [ref] gives a more general derivation of the blackfold effective theory.] in the context of string/M-theory branes [ref] .
Blackfolds · Introduction · 0.80
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