Entropy function and attractors for AdS black holes

Morales, José F.; Samtleben, Henning

doi:10.1088/1126-6708/2006/10/074

Cited by 82 publications

(105 citation statements)

References 68 publications

(98 reference statements)

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“…It would be interesting to connect this observation to the enhancement of supersymmetry at the horizon [46]. Thirdly, we note that, upon relaxing the BPS condition, a two-parameter family of AdS 2 × S 3 geometries with E p I = 0 and E k = −i is allowed [50]: It would be interesting to know if there exists a smooth interpolating solution between this non-BPS extremal geometry and AdS 5 at infinity. Finally, we note that BPS solutions of N = 1 supergravity with naked singularities and closed time-like curves were constructed in [51,52].…”

Section: Other Solutions Of Gauged Supergravitymentioning

confidence: 81%

5D black holes and non-linear sigma models

Berkooz

Pioline

2008

J. High Energy Phys.

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Stationary solutions of 5D supergravity with U(1) isometry can be efficiently studied by dimensional reduction to three dimensions, where they reduce to solutions to a locally supersymmetric non-linear sigma model. We generalize this procedure to 5D gauged supergravity, and identify the corresponding gauging in 3D. We pay particular attention to the case where the Killing spinor is non constant along the fibration, which results, even for ungauged supergravity in 5D, in an additional gauging in 3D, without introducing any extra potential. We further study SU(2) × U(1) symmetric solutions, which correspond to geodesic motion on the sigma model (with potential in the gauged case). We identify and study the algebra of BPS constraints relevant for the Breckenridge-Myers-Peet-Vafa black hole, the Gutowski-Reall black hole and several other BPS solutions, and obtain the corresponding radial wave functions in the semi-classical approximation.

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Section: Other Solutions Of Gauged Supergravitymentioning

confidence: 81%

5D black holes and non-linear sigma models

Berkooz

Pioline

2008

J. High Energy Phys.

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“…Moreover, analogously to V , it is not necessarily positive, as instead V BH is. It also holds that 26) which further restricts the region of definition of V ef f and ∂ a V ef f to V BH V < . In such a region, V ef f also enjoys the following power series expansion:…”

Section: General Analysismentioning

confidence: 99%

“…This symplectic frame, used in [76] and recently in [26], can be obtained from the N = 2 truncation of the SO (8) gauged N = 8 supergravity [77,78].…”

Section: So (8)-truncated Symplectic Basismentioning

confidence: 99%

“…By switching to new variables 24) where the X I (I = 1, 2, 3, 4) are real and X 1 X 2 X 3 X 4 = 1, it is easy to rewrite the Lagrangian (3.21) into the form [26] (the subscript SO (8) stands for " SO (8)-truncated")…”

Section: So (8)-truncated Symplectic Basismentioning

confidence: 99%

“…It is worth pointing out that the FI potential (3.26) of [26] corresponds to the FI potential (3.34) with the particular choice ξ…”

Section: So (8)-truncated Symplectic Basismentioning

confidence: 99%

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d=4black hole attractors inN=2supergravity with Fayet-Iliopoulos terms

et al. 2008

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We generalize the description of the d = 4 Attractor Mechanism based on an effective black hole (BH) potential to the presence of a gauging which does not modify the derivatives of the scalars and does not involve hypermultiplets. The obtained results do not rely necessarily on supersymmetry, and they can be extended to d > 4, as well.Thence, we work out the example of the stu model of N = 2 supergravity in the presence of Fayet-Iliopoulos terms, for the supergravity analogues of the magnetic and D0 − D6 BH charge configurations, and in three different symplectic frames: the (SO (1, 1)) 2 , SO (2, 2) covariant and SO (8)-truncated ones.The attractive nature of the critical points, related to the semi-positive definiteness of the Hessian matrix, is also studied.

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Novel zinc‐rich epoxy paint coatings with hydrated alumina and carbon nanotubes supported polypyrrole for corrosion protection of low carbon steel: Part II: Corrosion prevention behavior of the hybrid paint coatings

Gergely

Pászti

Bertóti

et al. 2012

Materials & Corrosion

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Utilization of various types of multi‐walled carbon nanotubes (MWCNTs) in zinc‐rich paints (ZRPs) is presented addressing percolation and porosity related phenomena of traditional ZRPs. Hybrid paint coatings were formulated with 3.21 wt% polypyrrole (PPy) deposited alumina‐MWCNT inhibitor particles (PDAMIPs) and 70 wt% zinc contents. Corrosion protection behavior of the hybrid coatings was investigated by electrochemical impedance spectroscopy (EIS), glow‐discharge optical emission spectroscopy (GD OES), X‐ray photoelectron spectroscopy (XPS), and FT‐Raman spectroscopy. Immersion and salt‐spray chamber tests gave evidence of improved galvanic protection and barrier nature of the hybrid coatings over the conventional ZRPs, whereas inhibited zinc corrosion and ignorable steel corrosion took place besides lower degradation of the binder. Zinc‐rich hybrid paints with either high relative amount of polyelectrolyte‐modified or low proportion of functionalized MWCNTs afforded enhanced corrosion prevention. This result is partly attributed to the nanotube volume fractions around the threshold of infinite cluster formation contributing to electrical percolation and galvanic action of the hybrids. Experimental results are discussed in a broader context on the basis of structure related findings of the PDAMIPs (described in Part I) and in the light of recent literature data. From the newly developed inhibitor particles, some of them are respected as worthy additives for application in hybrid coatings featuring high performance corrosion prevention functionality.

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Entropy function and attractors for AdS black holes

Cited by 82 publications

References 68 publications

5D black holes and non-linear sigma models

5D black holes and non-linear sigma models

d=4black hole attractors inN=2supergravity with Fayet-Iliopoulos terms

Novel zinc‐rich epoxy paint coatings with hydrated alumina and carbon nanotubes supported polypyrrole for corrosion protection of low carbon steel: Part II: Corrosion prevention behavior of the hybrid paint coatings

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