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Black holes with halos
High Energy Physics - Theory · Submitted 7 Dec 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim These configurations have nonzero temperature and are moreover surrounded by a massive vector field halo.
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The abstract, sentence by sentence
We present new AdS4 black hole solutions in N = 2 gauged supergravity coupled to vector and hypermultiplets. We focus on a particular consistent truncation of M-theory on the homogeneous Sasaki-Einstein seven-manifold M111, characterized by the presence of one Betti vector multiplet. We numerically construct static and spherically symmetric black holes with electric and magnetic charges, corresponding to M2 and M5 branes wrapping non-contractible cycles of the internal manifold. These configurations have nonzero temperature and are moreover surrounded by a massive vector field halo. For these solutions we verify the first law of black hole mechanics and we analyze the thermodynamics and phase transitions in the canonical ensemble, interpreting the process in the corresponding dual field theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present new AdS4 black hole solutions in N = 2 gauged supergravity coupled to vector and hypermultiplets. | contribution 1.00 | 0.95 | 0.12 | asserted 1.00 |
| s1 | We focus on a particular consistent truncation of M-theory on the homogeneous Sasaki-Einstein seven-manifold M111, characterized by the presence of one Betti vector multiplet. | method 0.61 | 0.50 | 0.06 | asserted 0.97 |
| s2 | We numerically construct static and spherically symmetric black holes with electric and magnetic charges, corresponding to M2 and M5 branes wrapping non-contractible cycles of the internal manifold. | contribution 0.78 | 0.94 | 0.10 | asserted 1.00 |
| s3 | These configurations have nonzero temperature and are moreover surrounded by a massive vector field halo. | result 1.00 | 0.87 | 0.29 | asserted 1.00 |
| s4 | For these solutions we verify the first law of black hole mechanics and we analyze the thermodynamics and phase transitions in the canonical ensemble, interpreting the process in the corresponding dual field theory. | contribution 0.78 | 0.95 | 0.23 | asserted 1.00 |
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The paper
Original abstract
We present new AdS4 black hole solutions in N = 2 gauged supergravity coupled to vector and hypermultiplets. We focus on a particular consistent truncation of M-theory on the homogeneous Sasaki-Einstein seven-manifold M111, characterized by the presence of one Betti vector multiplet. We numerically construct static and spherically symmetric black holes with electric and magnetic charges, corresponding to M2 and M5 branes wrapping non-contractible cycles of the internal manifold. These configurations have nonzero temperature and are moreover surrounded by a massive vector field halo. For these solutions we verify the first law of black hole mechanics and we analyze the thermodynamics and phase transitions in the canonical ensemble, interpreting the process in the corresponding dual field theory.
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References
How the literature uses it
5 arXiv papers cite this in 16 sentences
Papers citing it · 13 sentences without a confident label
Builds on it 1 paper
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The truncation on $M^111$ used in [ref] can be obtained from the reduction on $Q^111$ upon setting to zero one of the two Betti multiplets, by suitably identifying two gauge fields $A^3=A^1$ and two scalar fields $t^3=t^1$.
On the Search for Multicenter AdS Black Holes from M-theory · Four-dimensional Supergravity setup and uplift in 11d · 0.84
Uses its method or tool 1 paper
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Some more details of this procedure can be found in [ref] where it was used to find spherical solutions of the $M^111$ model.
On the Search for Multicenter AdS Black Holes from M-theory · Recap: AdS4 black holes with massive vector halo · 0.98
Cites it as background 1 paper
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The conventions are spelled out in [ref] and we refer to that paper for details.
On the Search for Multicenter AdS Black Holes from M-theory · 4d supergravity from M-theory on $SE_7$: $M^111$ and $Q^111$ · 0.87
What it cites · 63 sentences without a confident label
Builds on 1 paper
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The black holes we present here correspond to nonzero temperature generalizations of the black holes of [ref] and are found by solving the Einstein, Maxwell and scalar equations of motion.
BPS Black Holes in AdS4 from M-theory · Introduction · 0.97
Uses the method or tool of 6 papers
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Therefore, it is sufficient to take into account [equation] Finally, following the prescription of [ref] , the presence of the massive vector field requires the presence of an additional counterterm of the form [equation] However, in our subspace of solutions this counterterm does not give any finite contribution to the renormalized action, as one can see from the asymptotic expansion of $ζ$ in [ref].
Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method · Renormalized on-shell action · 0.89
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Therefore, it is sufficient to take into account [equation] Finally, following the prescription of [ref] , the presence of the massive vector field requires the presence of an additional counterterm of the form [equation] However, in our subspace of solutions this counterterm does not give any finite contribution to the renormalized action, as one can see from the asymptotic expansion of $ζ$ in [ref].
Holographic Renormalization · Renormalized on-shell action · 0.89
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We now compute the on-shell value of the renormalized action for purely electric black holes, following [ref] .
Black hole mass and Hamilton-Jacobi counterterms · Electric solution · 0.98
Uses data or values from 1 paper
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The spectrum then contains (see Table 7 of [ref] ) * the gravity multiplet, containing the metric $g_μν$ and a massless vector, * a Betti vector multiplet, containing the massless vector and a complex scalar (two real fields) of mass $m^2 l^2 = -2$ (in our conventions, the Breitenlohner-Freedman bound is $m^2 l^2 ≥-9/4$), each with $Δ=(2,1)$, * a massive vector multiplet, containing a massive vector of mass $m^2 l^2=12$ (which corresponds holographically to a vector operator with weight $Δ=5$), which has eaten its axion $a$ and five scalars of mass $m^2 l^2=(18,10,10,10,4)$ corresponding to $Δ=(6,5,5,5,4)$.
All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua · Model M111 · 0.95
Compares with 17 papers
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This signals the onset of a small-large black hole first order phase transition, in all similarity with the phase transition for Reissner-Nordström in AdS space-time found in the seminal papers of [ref] and [ref] .
Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories · Canonical ensemble · 0.99
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This signals the onset of a small-large black hole first order phase transition, in all similarity with the phase transition for Reissner-Nordström in AdS space-time found in the seminal papers of [ref] and [ref] .
Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes · Canonical ensemble · 0.99
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This signals the onset of a small-large black hole first order phase transition, in all similarity with the phase transition for Reissner-Nordström in AdS space-time found in the seminal papers of [ref] and [ref] .
Charged AdS Black Holes and Catastrophic Holography · Canonical ensemble · 0.99
Cites as background 32 papers
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Zero-temperature, 1/4 BPS black hole solutions for various models, including $Q^111$ and $M^111$, were found in [ref] , in the form of flows from $AdS_4$ to $AdS_2 ×S^2$ near-horizon geometries, by solving the BPS equations.
BPS Black Holes in AdS4 from M-theory · Introduction · 0.86
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The first example of static supersymmetric AdS$_4$ black holes was analytically constructed in [ref] , while previous studies [ref] yielded naked singularities.
Anti-de Sitter Black Holes in Gauged N=8 Supergravity · Introduction · 0.88
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The first example of static supersymmetric AdS$_4$ black holes was analytically constructed in [ref] , while previous studies [ref] yielded naked singularities.
Supersymmetric AdS_4 black holes and attractors · Introduction · 0.88
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