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Dyonic AdS_4 black hole entropy and attractors via entropy function

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Prieslei Goulart

High Energy Physics - Theory · Submitted 16 Dec 2015

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In particular, we derive an expression for the dyonic black hole entropy for the $\mathcal{N}=8$ gauged supergravity in 4 dimensions which does not contain explicitly the gauge parameter of the potential.

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arXiv ID1512.05399 (version 3)
Pith IDLZZ2JYWN, Pith's permanent record of this paper and its review
CitationPrieslei Goulart. "Dyonic AdS_4 black hole entropy and attractors via entropy function." arXiv:1512.05399 (2015). https://pith.science/paper/LZZ2JYWN
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arXiv listing abstract v3. Results and the main claim are underlined; .

Using the Sen's entropy function formalism, we compute the entropy for the extremal dyonic black hole solutions of theories in the presence of dilaton field coupled to the field strength and a dilaton potential. We solve the attractor equations analytically and determine the near horizon metric, the value of the scalar fields and the electric field on the horizon, and consequently the entropy of these black holes. The attractor mechanism plays a very important role for these systems, and after studying the simplest systems involving dilaton fields, we propose a general ansatz for the value of the scalar field on the horizon, which allows us to solve the attractor equations for gauged supergravity theories in $AdS_4$ spaces. In particular, we derive an expression for the dyonic black hole entropy for the $\mathcal{N}=8$ gauged supergravity in 4 dimensions which does not contain explicitly the gauge parameter of the potential.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Using the Sen's entropy function formalism, we compute the entropy for the extremal dyonic black hole solutions of theories in the presence of dilaton field coupled to the field strength and a dilaton potential. contribution 0.72 0.95 0.14 asserted 1.00
s1 We solve the attractor equations analytically and determine the near horizon metric, the value of the scalar fields and the electric field on the horizon, and consequently the entropy of these black holes. method 0.55 0.96 0.20 asserted 1.00
s2 The attractor mechanism plays a very important role for these systems, and after studying the simplest systems involving dilaton fields, we propose a general ansatz for the value of the scalar field on the horizon, which allows us to solve the attractor equations for gauged supergravity theories in $AdS_4$ spaces. contribution 0.72 0.89 0.23 asserted 0.97
s3 In particular, we derive an expression for the dyonic black hole entropy for the $\mathcal{N}=8$ gauged supergravity in 4 dimensions which does not contain explicitly the gauge parameter of the potential. result 0.98 0.96 0.54 asserted 1.00

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Original abstract

Using the Sen's entropy function formalism, we compute the entropy for the extremal dyonic black hole solutions of theories in the presence of dilaton field coupled to the field strength and a dilaton potential. We solve the attractor equations analytically and determine the near horizon metric, the value of the scalar fields and the electric field on the horizon, and consequently the entropy of these black holes. The attractor mechanism plays a very important role for these systems, and after studying the simplest systems involving dilaton fields, we propose a general ansatz for the value of the scalar field on the horizon, which allows us to solve the attractor equations for gauged supergravity theories in $AdS_4$ spaces. In particular, we derive an expression for the dyonic black hole entropy for the $\mathcal{N}=8$ gauged supergravity in 4 dimensions which does not contain explicitly the gauge parameter of the potential.

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1 arXiv paper cite this in 3 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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  • In [ref] the black hole has the metric and thermodynamic properties of a Schwarzschild solution, whereas the solution found in [ref] has the metric and thermodynamic properties of a Reissner-Nordstrom black hole.

    Supersymmetry as a Cosmic Censor · Introduction · 0.98

Cites as background 18 papers
  • In the context of $𝒩=2$ gauged supergravity, black holes in $AdS_4$ spaces have been extensively studied, and supersymmetric black hole solutions with running scalar fields were found in [ref] , and explored with more details in [ref] .

    BPS Black Hole Horizons in N=2 Gauged Supergravity · Introduction · 0.95

  • In the context of $𝒩=2$ gauged supergravity, black holes in $AdS_4$ spaces have been extensively studied, and supersymmetric black hole solutions with running scalar fields were found in [ref] , and explored with more details in [ref] .

    Supersymmetric AdS_4 black holes and attractors · Introduction · 0.95

  • In the context of $𝒩=2$ gauged supergravity, black holes in $AdS_4$ spaces have been extensively studied, and supersymmetric black hole solutions with running scalar fields were found in [ref] , and explored with more details in [ref] .

    Static BPS Black Holes in AdS4 with General Dyonic Charges · Introduction · 0.95

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