Asymptotic degeneracy of dyonic N=4 string states and black hole entropy

By G. Cardoso, B. Wit, J. Käppeli, T. Mohaupt. 2004

180 citations recorded by the source corpus.

It is shown that the asymptotic growth of the microscopic degeneracy of BPS dyons in four-dimensional N = 4 string theory captures the known corrections to the macroscopic entropy of four-dimensional extremal black holes. These corrections are subleading in the limit of large charges and originate both from the presence of interactions in the effective action quadratic in the Riemann tensor and from non-holomorphic terms. The presence of the non-holomorphic corrections and their contribution to the thermodynamic free energy is discussed. It is pointed out that the expression for the macroscopic entropy, written as a function of the dilaton field, is stationary at the horizon by virtue of the attractor equations.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/011a33bd2f4994373f9a618038d07f7797d187a3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Ashoke Sen
2. S. Trivedi
3. Mario Trigiante
4. Frederik Denef
5. B. Pioline
6. A. Dabholkar
7. G. Moore
8. S. Murthy

In Nuclear and High Energy Physics

1. Ashoke Sen
2. B. Pioline
3. A. Dabholkar
4. Frederik Denef
5. S. Trivedi
6. S. Murthy
7. G. Moore
8. Mario Trigiante

In Statistical and Nonlinear Physics

1. Ashoke Sen
2. B. Pioline
3. A. Dabholkar
4. G. Moore
5. S. Trivedi
6. S. Murthy
7. Mario Trigiante
8. Frederik Denef

Citations in the corpus

• Entropy function and AdS2/CFT1 correspondence (2008, methodology): “f the theory. Various approaches to addressing this problem have been suggested, e.g. using the one particle irreducible (1PI) effective action instead of the classical action in computing the entropy [8,9,10,11,7], or, in the special case of N ≥ 2 supersymmetric string theories in four dimensions, t”
• Exact and Asymptotic Degeneracies of Small Black Holes (2005, background): “Several recent papers [32, 47 ,48,49] have addressed this problem by taking into account”
• Dying dyons don't count (2007, methodology): “2 d(P)d(Q) I C d e 2ˇi(PQ) ; where we have made use of (2.1). To evaluate the remaining integral over , we rst consider a contour with Im>0. For this case the contour is shown in the Figure [2]. When the charges under consideration satisfy PQ<0, one can deform the contour to the upper innity ”
• Split states, entropy enigmas, holes and halos (2007, background): “For certain N ≥ 4 models [11, 12, 13, 14, 15], where cutoffs are not needed due to the simplicity of the topological string partition function, explicit exponential corrections were found.”
• Quantum Black Holes, Wall Crossing, and Mock Modular Forms (2012, background): “s in a tractable context, we consider the compactication of Type-II on K3 T2 with N= 4 supersymmetry in four dimensions. The spectrum of quarter-BPS dyonic states in this model is exactly computable [51, 60, 109, 110, 85, 42] and by now is well understood at all points in the moduli space [105, 31, ”
• Black hole entropy function, attractors and precision counting of microstates (2007, methodology): “Our analysis will follow the one given in [6]; this in turn is based on the earlier analysis of [9, 18, 10, 173].”
• Black hole microstates and attractor without supersymmetry (2006, methodology): “e any correction from these SO(3,1) breaking terms. In the supersymmetric case the correction to the entropy given in (7.14) can be shown to agree with the corresponding result for statistical entropy[63, 64]. It will be important to examine if similar agreement also holds for the non-supersymmetric”
• Extremal black holes in supergravity (2006, background): “Furthermore, the concept of entropy may be extended to theories which include higher curvature and higher derivative matter terms [28, 29, 41, 42].”
• Arithmetic of quantum entropy function (2009, methodology): “ be to understand this formula from a macroscopic viewpoint, ı.e. by using the quantum entropy function.2 The function f is given by the triple Fourier transform of the inverse of the Igusa cusp form [15,16,17,18,19]. In principle QEF should provide a complete macroscopic derivation of the function ”
• Logarithmic corrections to rotating extremal black hole entropy in four and five dimensions (2011, unknown): “index (5.5) may be evaluated by deforming the contours of integration of (ρ,eeσ,ev) and picking up contributions from the residues at various poles. The leading contribution comes from the residue at [10,11,15,18]6 ρeeσ− ev2 + ev= 0, (5.6) where Φ has a zero. We now make a change of variablese eρ= 1”
• Product representation of dyon partition function in CHL models (2006, background): “These formulæ are invariant under the S-duality transformations of the theory, and also reproduce the entropy of a dyonic black hole in the limit of large charges[2].”
• Precision Counting of Small Black Holes (2005, result): “BCOV generating function, which describes the 1PI couplings in the low-energy effective action. This is consistent with the discussion in [45], but in stark contrast with the alternative approaches in [16,18] (note however that [45] has proposed a formally equivalent formula, using the holomorphic ra”