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Heating up the BIon
High Energy Physics - Theory · Submitted 7 Dec 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the finite temperature system behaves qualitatively different than its zero-temperature counterpart.
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The abstract, sentence by sentence
We propose a new method to consider D-brane probes in thermal backgrounds. The method builds on the recently developed blackfold approach to higher-dimensional black holes. While D-brane probes in zero-temperature backgrounds are well-described by the Dirac-Born-Infeld (DBI) action, this method addresses how to probe thermal backgrounds. A particularly important feature is that the probe is in thermal equilibrium with the background. We apply our new method to study the thermal generalization of the BIon solution of the DBI action. The BIon solution is a configuration in flat space of a D-brane and a parallel anti-D-brane connected by a wormhole with F-string charge. In our thermal generalization, we put this configuration in hot flat space. We find that the finite temperature system behaves qualitatively different than its zero-temperature counterpart. In particular, for a given separation between the D-brane and anti-D-brane, while at zero temperature there are two phases, at finite temperature there are either one or three phases available.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose a new method to consider D-brane probes in thermal backgrounds. | contribution 0.99 | 0.85 | 0.06 | asserted 0.86 |
| s1 | The method builds on the recently developed blackfold approach to higher-dimensional black holes. | method 0.75 | 0.18 | 0.02 | asserted 1.00 |
| s2 | While D-brane probes in zero-temperature backgrounds are well-described by the Dirac-Born-Infeld (DBI) action, this method addresses how to probe thermal backgrounds. | background 0.58 | 0.10 | 0.04 | asserted 1.00 |
| s3 | A particularly important feature is that the probe is in thermal equilibrium with the background. | method 0.61 | 0.38 | 0.05 | asserted 1.00 |
| s4 | We apply our new method to study the thermal generalization of the BIon solution of the DBI action. | contribution 0.99 | 0.89 | 0.07 | asserted 0.96 |
| s5 | The BIon solution is a configuration in flat space of a D-brane and a parallel anti-D-brane connected by a wormhole with F-string charge. | background 1.00 | 0.05 | 0.03 | asserted 1.00 |
| s6 | In our thermal generalization, we put this configuration in hot flat space. | contribution 0.67 | 0.86 | 0.05 | asserted 0.99 |
| s7 | We find that the finite temperature system behaves qualitatively different than its zero-temperature counterpart. | result 0.99 | 0.96 | 0.49 | asserted 1.00 |
| s8 | In particular, for a given separation between the D-brane and anti-D-brane, while at zero temperature there are two phases, at finite temperature there are either one or three phases available. | result 1.00 | 0.95 | 0.61 | asserted 1.00 |
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The paper
Original abstract
We propose a new method to consider D-brane probes in thermal backgrounds. The method builds on the recently developed blackfold approach to higher-dimensional black holes. While D-brane probes in zero-temperature backgrounds are well-described by the Dirac-Born-Infeld (DBI) action, this method addresses how to probe thermal backgrounds. A particularly important feature is that the probe is in thermal equilibrium with the background. We apply our new method to study the thermal generalization of the BIon solution of the DBI action. The BIon solution is a configuration in flat space of a D-brane and a parallel anti-D-brane connected by a wormhole with F-string charge. In our thermal generalization, we put this configuration in hot flat space. We find that the finite temperature system behaves qualitatively different than its zero-temperature counterpart. In particular, for a given separation between the D-brane and anti-D-brane, while at zero temperature there are two phases, at finite temperature there are either one or three phases available.
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References
How the literature uses it
38 arXiv papers cite this in 122 sentences
Papers citing it · 76 sentences without a confident label
Builds on it 2 papers
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In this paper we continue our study of the finite temperature BIon solution found in [ref] which generalizes the extremal BIon solution in the particular case of the D3-brane.
Thermodynamics of the hot BIon · Introduction · 0.85
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We want to generalize the thermodynamic action, the free energy, of the hot BIon solution with $W=0$ of Ref. [ref] to non-zero $W$.
The Flowing BIon · Action principle · 1.00
Uses its method or tool 8 papers
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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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At strong coupling $g_s N≫1$ the open/closed string duality reveals that the thermal DBI action can be computed from the black hole thermodynamics of $N$ coincident D3-branes probing the type IIB supergravity background in the sense of the blackfold approach (see Refs. [ref] for the blackfold approach and more specifically Refs. [ref] for the application to D-branes).
Thermal DBI action for the D3-brane at weak and strong coupling · Introduction, summary and conclusions · 0.86
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If the spacetime has a compact direction, such as KK spacetimes, or if the the horizon is non-compact then one can simply apply the prescription of [ref] .[We note that this prescription does not require introducing Killing potentials.] If the black hole admits a blackfold limit, as large classes of higher-dimensional black holes do [ref] , then the prescription of [ref] also applies, once we zoom locally into the horizon rendering it brane-like.
Gravitational Tension, Spacetime Pressure and Black Hole Volume · A different point of view: gravitational tension · 0.93
Uses its data or values 1 paper
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These were obtained in Ref. [ref] and are given by the following expressions in terms of the three parameters $(T,N,k)$.
Thermodynamics of the hot BIon · Introduction · 0.98
Compares with it 5 papers
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As reviewed in the Introduction, in [ref] we found that the $(σ_0,Δ)$ diagram has important qualitative differences with the $(σ_0,Δ)$ diagram of the BIon solution of the Born-Infeld theory.
Thermodynamics of the hot BIon · Choice of ensemble and measurement of the free energy · 0.80
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Basically, for $W<W_crit$ the behavior seems to be completely analogous to the one that holds in the zero velocity ($W=0$) case [ref] .
The Flowing BIon · Brane separation · 0.97
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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] .
Thermal Giant Gravitons · Introduction · 0.99
Cites it as support 1 paper
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Indeed, the results of this paper and of Ref. [ref] show that our method for describing D-branes probing thermal backgrounds is able to reveal new insights into physics of finite-temperature string theory.
Thermodynamics of the hot BIon · Introduction · 0.96
Cites it as background 12 papers
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We begin by reviewing here the main features of the finite temperature BIon solution [ref] .
Thermodynamics of the hot BIon · Introduction · 0.86
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In blackfold generalizations of the fluid/gravity correspondence the long-wavelength expansion of the (super)gravity equations around black brane solutions is an affair that combines the fluid dynamical nature of black hole physics [ref] with the extrinsic (elastic) dynamics [ref] of hypersurfaces in ambient spacetimes that is characteristic of D-brane physics.
Forced Fluid Dynamics from Blackfolds in General Supergravity Backgrounds · Forced blackfold equations in (super)gravity · 0.83
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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
What it cites · 38 sentences without a confident label
Uses the method or tool of 3 papers
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Below we shall use this to connect to the blackfold approach of [ref] and thence to go to the thermal case.
Essentials of Blackfold Dynamics · Extrinsic embedding equations from DBI action · 0.92
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Below we shall use this to connect to the blackfold approach of [ref] and thence to go to the thermal case.
The Phase Structure of Higher-Dimensional Black Rings and Black Holes · Extrinsic embedding equations from DBI action · 0.92
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A scheme for this, based on matched asymptotic expansion, has been developed within the blackfold approach and already been successfully applied to specific classes of black objects [ref] .
Black Rings in (Anti)-deSitter space · Conclusions · 0.83
Compares with 1 paper
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We will compare these in more detail in Ref. [ref] .
Thermodynamics of the hot BIon · Diagrams for separation distance $Δ$ versus minimal radius $σ_0$ · 0.92
Cites as background 13 papers
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The first example in string theory where the full non-linear dynamics of the DBI action was exploited is that of the BIon solution [ref] .
Born-Infeld particles and Dirichlet p-branes · Introduction · 0.98
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The first example in string theory where the full non-linear dynamics of the DBI action was exploited is that of the BIon solution [ref] .
Brane Dynamics From the Born-Infeld Action · Introduction · 0.98
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See [ref] for general comments on this.]
Essentials of Blackfold Dynamics · Extrinsic embedding equations from DBI action · 0.97
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