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322
New attractor, entropy function and black hole partition function
 JHEP
"... By making use of the entropy function formalism we study the generalized attractor equations in the four dimensional N = 2 supergravity in the presence of higher order corrections. This result might be used to understand a possible ensemble one could associate to an extremal black hole. Using the ge ..."
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Cited by 43 (2 self)
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By making use of the entropy function formalism we study the generalized attractor equations in the four dimensional N = 2 supergravity in the presence of higher order corrections. This result might be used to understand a possible ensemble one could associate to an extremal black hole. Using the generality and simplicity of this formalism we establish a duality between a four gravitational theory on AdS2 × S 2 background and the extremal black hole of the theory whose near horizon geometry is fixed by the AdS2 background. In this sense the attractor mechanism plays the role of decoupling limit in the context of AdS/CFT correspondence.
BPS black hole degeneracies and minimal automorphic representations
 JHEP
"... Preprint typeset in JHEP style PAPER VERSION hepth/0506228 ..."
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Cited by 43 (12 self)
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Preprint typeset in JHEP style PAPER VERSION hepth/0506228
4d/5d Correspondence for the Black Hole Potential and its Critical
"... We express the d = 4, N = 2 black hole effective potential for cubic holomorphic F functions and generic dyonic charges in terms of d = 5 real special geometry data. The 4d critical points are computed from the 5d ones, and their relation is elucidated. For symmetric spaces, we identify the BPS and ..."
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Cited by 42 (23 self)
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We express the d = 4, N = 2 black hole effective potential for cubic holomorphic F functions and generic dyonic charges in terms of d = 5 real special geometry data. The 4d critical points are computed from the 5d ones, and their relation is elucidated. For symmetric spaces, we identify the BPS and nonBPS classes of attractors and the respective entropies. These always derive from simple interpolating formulæ between four and five dimensions, depending on the volume Recently there has been an increasing amount of work on extremal charged black holes in an environment of scalar background fields, as they naturally arise in modern theories of gravity: superstrings, Mtheory, and their lowenergy description through supergravity. In particular, the Attractor
Stationary black holes and attractor mechanism, Nucl. Phys. B794
, 2008
"... We investigate the symmetries of the near horizon geometry of extremal stationary black hole in four dimensional Einstein gravity coupled to abelian gauge fields and neutral scalars. Careful consideration of the equations of motion and the boundary conditions at the horizon imply that the near horiz ..."
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Cited by 38 (2 self)
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We investigate the symmetries of the near horizon geometry of extremal stationary black hole in four dimensional Einstein gravity coupled to abelian gauge fields and neutral scalars. Careful consideration of the equations of motion and the boundary conditions at the horizon imply that the near horizon geometry has SO(2, 1) × U(1) isometry. This compliments the rotating attractors proposal of hepth/0606244 which had assumed the presence of this isometry. The extremal solutions are classified into two families differentiated by the presence or absence of an ergoregion. We also comment on the attractor mechanism of both branches.
Arithmetic of Quantum Entropy Function
, 903
"... Quantum entropy function is a proposal for computing the entropy associated with the horizon of a black hole in the extremal limit, and is related via AdS/CFT correspondence to the dimension of the Hilbert space in a dual quantum mechanics. We show that in N = 4 supersymmetric string theories, quant ..."
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Cited by 36 (14 self)
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Quantum entropy function is a proposal for computing the entropy associated with the horizon of a black hole in the extremal limit, and is related via AdS/CFT correspondence to the dimension of the Hilbert space in a dual quantum mechanics. We show that in N = 4 supersymmetric string theories, quantum entropy function formalism naturally explains the origin of the subtle differences between the microscopic degeneracies of quarter BPS dyons carrying different torsion, ı.e. different arithmetical properties. These arise from additional saddle points in the path integral – whose existence depends on the arithmetical properties of the black hole charges – constructed as freely acting orbifolds of the original AdS2 × S 2 near horizon geometry. During this analysis we demonstrate that the quantum entropy function is insensitive to the details of the infrared cutoff used in the computation, and the details of the boundary terms added to the action. We also discuss the role of the asymptotic symmetries of AdS2 in carrying out the path integral in the definition of quantum entropy function. Finally we show that even though quantum entropy function is expected to compute the absolute degeneracy in a given charge and angular momentum sector, it can also be used to compute
Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
, 2008
"... We review and extend recent attempts to find a precise relation between extremal black hole entropy and degeneracy of microstates using AdS2/CFT1 correspondence. Our analysis leads to a specific relation between degeneracy of black hole microstates and an appropriately defined partition function of ..."
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Cited by 34 (9 self)
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We review and extend recent attempts to find a precise relation between extremal black hole entropy and degeneracy of microstates using AdS2/CFT1 correspondence. Our analysis leads to a specific relation between degeneracy of black hole microstates and an appropriately defined partition function of string theory on the near horizon geometry, – named the quantum entropy function. In the classical limit this reduces to the usual relation between statistical
Two centered black holes and N=4 dyon spectrum
"... The exact spectrum of dyons in a class of N=4 supersymmetric string theories is known to change discontinuously across walls of marginal stability. We show that the change in the degeneracy across the walls of marginal stability can be accounted for precisely by the entropy ..."
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Cited by 30 (16 self)
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The exact spectrum of dyons in a class of N=4 supersymmetric string theories is known to change discontinuously across walls of marginal stability. We show that the change in the degeneracy across the walls of marginal stability can be accounted for precisely by the entropy
5D attractors with higher derivatives
 JHEP
, 2007
"... We analyze higher derivative corrections to attractor geometries in five dimensions. We find corrected AdS3 × S2 geometries by solving the equations of motion coming from a recently constructed fourderivative supergravity action in five dimensions. The result allows us to explicitly verify a previo ..."
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Cited by 28 (6 self)
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We analyze higher derivative corrections to attractor geometries in five dimensions. We find corrected AdS3 × S2 geometries by solving the equations of motion coming from a recently constructed fourderivative supergravity action in five dimensions. The result allows us to explicitly verify a previous anomaly based derivation of the AdS3 central charges of this theory. Also, by dimensional reduction we compare our results with those of the 4D higher derivative attractor, and find complete agreement.
Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory
 on T 6 ,” JHEP 0803 (2008) 022 arXiv:0712.0043 [hepth
"... For heterotic string theory compactified on T 6, we derive the complete set of Tduality invariants which characterize a pair of charge vectors (Q, P) labelling the electric and magnetic charges of the dyon. Using this we can identify the complete set of dyons to which the previously derived degener ..."
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Cited by 27 (12 self)
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For heterotic string theory compactified on T 6, we derive the complete set of Tduality invariants which characterize a pair of charge vectors (Q, P) labelling the electric and magnetic charges of the dyon. Using this we can identify the complete set of dyons to which the previously derived degeneracy formula can be extended. By going near special points in the moduli space of the theory we derive the spectrum of quarter BPS dyons in N = 4 supersymmetric gauge theory with simply laced gauge groups. The results are in agreement with those derived from