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Null-Wave Giant Gravitons from Thermal Spinning Brane Probes
High Energy Physics - Theory · Submitted 11 Jun 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We finally show, via a double scaling extremal limit, that our spinning thermal giant graviton solutions lead to a novel null-wave zero-temperature giant graviton solution with a BPS spectrum, which does not have an analogue in terms of the conventional weakly coupled world volume theory.
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We construct and analyze thermal spinning giant gravitons in type II/M-theory based on spherically wrapped black branes, using the method of thermal probe branes originating from the blackfold approach. These solutions generalize in different directions recent work in which the case of thermal (non-spinning) D3-brane giant gravitons was considered, and reveal a rich phase structure with various new properties. First of all, we extend the construction to M-theory, by constructing thermal giant graviton solutions using spherically wrapped M2- and M5-branes. More importantly, we switch on new quantum numbers, namely internal spins on the sphere, which are not present in the usual extremal limit for which the brane world volume stress tensor is Lorentz invariant. We examine the effect of this new type of excitation and in particular analyze the physical quantities in various regimes, including that of small temperatures as well as low/high spin. As a byproduct we find new stationary dipole-charged black hole solutions in AdS_m X S^n backgrounds of type II/M-theory. We finally show, via a double scaling extremal limit, that our spinning thermal giant graviton solutions lead to a novel null-wave zero-temperature giant graviton solution with a BPS spectrum, which does not have an analogue in terms of the conventional weakly coupled world volume theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct and analyze thermal spinning giant gravitons in type II/M-theory based on spherically wrapped black branes, using the method of thermal probe branes originating from the blackfold approach. | contribution 0.93 | 0.96 | 0.07 | asserted 1.00 |
| s1 | These solutions generalize in different directions recent work in which the case of thermal (non-spinning) D3-brane giant gravitons was considered, and reveal a rich phase structure with various new properties. | contribution 0.55 | 0.70 | 0.07 | asserted 1.00 |
| s2 | First of all, we extend the construction to M-theory, by constructing thermal giant graviton solutions using spherically wrapped M2- and M5-branes. | contribution 0.99 | 0.96 | 0.05 | asserted 1.00 |
| s3 | More importantly, we switch on new quantum numbers, namely internal spins on the sphere, which are not present in the usual extremal limit for which the brane world volume stress tensor is Lorentz invariant. | contribution 0.99 | 0.91 | 0.07 | asserted 1.00 |
| s4 | We examine the effect of this new type of excitation and in particular analyze the physical quantities in various regimes, including that of small temperatures as well as low/high spin. | contribution 0.74 | 0.95 | 0.04 | asserted 0.96 |
| s5 | As a byproduct we find new stationary dipole-charged black hole solutions in AdS_m X S^n backgrounds of type II/M-theory. | result 0.96 | 0.96 | 0.07 | asserted 1.00 |
| s6 | We finally show, via a double scaling extremal limit, that our spinning thermal giant graviton solutions lead to a novel null-wave zero-temperature giant graviton solution with a BPS spectrum, which does not have an analogue in terms of the conventional weakly coupled world volume theory. | result 0.94 | 0.96 | 0.71 | asserted 1.00 |
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Original abstract
We construct and analyze thermal spinning giant gravitons in type II/M-theory based on spherically wrapped black branes, using the method of thermal probe branes originating from the blackfold approach. These solutions generalize in different directions recent work in which the case of thermal (non-spinning) D3-brane giant gravitons was considered, and reveal a rich phase structure with various new properties. First of all, we extend the construction to M-theory, by constructing thermal giant graviton solutions using spherically wrapped M2- and M5-branes. More importantly, we switch on new quantum numbers, namely internal spins on the sphere, which are not present in the usual extremal limit for which the brane world volume stress tensor is Lorentz invariant. We examine the effect of this new type of excitation and in particular analyze the physical quantities in various regimes, including that of small temperatures as well as low/high spin. As a byproduct we find new stationary dipole-charged black hole solutions in AdS_m X S^n backgrounds of type II/M-theory. We finally show, via a double scaling extremal limit, that our spinning thermal giant graviton solutions lead to a novel null-wave zero-temperature giant graviton solution with a BPS spectrum, which does not have an analogue in terms of the conventional weakly coupled world volume theory.
Human review
How the literature uses it
10 arXiv papers cite this in 21 sentences
Papers citing it · 14 sentences without a confident label
Builds on it 1 paper
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The equilibrium solution [ref] is valid for the cases of branes carrying $q=1, p$ charge as well as for the bound states carrying $(1,p)$-brane charge.[In the case $q=p$ these solutions extend the $Ω=0$ solutions of [ref] beyond the near-extremal limit.] By comparing the result with the previous sections, we see that the background flux have a non-trivial effect on the equilibrium condition, as expected.
New asymptotically (Anti)-de Sitter black holes in (super)gravity · Odd-sphere solutions · 0.94
Compares with it 2 papers
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These results can be compared with the work of [ref] , where the authors derived the equation of state for thermal M5 branes arising from 11d supergravity.[See also [ref] for earlier work on thermal M5 branes.] The authors focused on M2 brane configurations with $μ_2 = Φ_(2)*(v∧w∧z)$, where $Φ_(2)$ is a scalar (not to be confused with our Goldstone field) and $v^μ$, $w^μ$, $z^μ$ are mutually orthogonal normalized spatial vectors.
Higher-group global symmetry and the bosonic M5 brane · Self-dual limit and the thermal M5 brane · 0.97
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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
Cites it as background 3 papers
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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
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Numerical techniques have also been used to construct various types of non-uniform solutions [ref] in type IIB and M-theory and using perturbative methods, thermal giant graviton solutions were constructed, which can simultaneously rotate in the AdS$_l$ and the $S^m$ parts [ref] .
New asymptotically (Anti)-de Sitter black holes in (super)gravity · Introduction · 0.83
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Finally, see [ref] for the construction of thermal Giant Gravitons probing thermal $_5×S^5$.]
Thermal DBI action for the D3-brane at weak and strong coupling · Introduction, summary and conclusions · 0.94
What it cites · 55 sentences without a confident label
Builds on 3 papers
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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.
Thermal Giant Gravitons · Introduction · 1.00
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Another interesting generalization is to construct the spinning thermal giant gravitons on products of odd-spheres, in analogy with [ref] .
New Horizons for Black Holes and Branes · Discussion and outlook · 0.80
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Another interesting generalization is to construct the spinning thermal giant gravitons on products of odd-spheres, in analogy with [ref] .
Blackfolds in Supergravity and String Theory · Discussion and outlook · 0.80
Uses the method or tool of 7 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 .
Thermal Giant Gravitons · Thermodynamic properties and stability · 0.86
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The method uses the blackfold approach [ref] to thermal probe branes in string theory, and parallels in particular the case of thermal (non-spinning) D3-brane giant gravitons discussed in Ref. [ref] , to which we refer the reader for further details and choice of notation.
Heating up the BIon · Setup using thermal probe method · 0.90
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The method uses the blackfold approach [ref] to thermal probe branes in string theory, and parallels in particular the case of thermal (non-spinning) D3-brane giant gravitons discussed in Ref. [ref] , to which we refer the reader for further details and choice of notation.
Higher-dimensional Rotating Charged Black Holes · Setup using thermal probe method · 0.90
Compares with 2 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.
Thermal Giant Gravitons · Alternative parameterization of solution space · 0.81
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The balancing condition [ref] is the same as the one obtained for flat backgrounds [ref] .
Blackfolds in Supergravity and String Theory · Spinning black hole configuration · 0.96
Cites as background 14 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] .
The black M2-M5 ring intersection spins · Introduction · 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] .
World-Volume Effective Theory for Higher-Dimensional Black Holes · Introduction · 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] .
Heating up the BIon · Introduction · 0.83
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