Exact and Asymptotic Degeneracies of Small Black Holes

By A. Dabholkar, Frederik Denef, G. Moore, B. Pioline. 2005

164 citations recorded by the source corpus.

We examine the recently proposed relations between black hole entropy and the topological string in the context of type II/heterotic string dual models. We consider the degeneracies of perturbative heterotic BPS states. In several examples with = 4 and = 2 supersymmetry, we show that the macroscopic degeneracy of small black holes agrees to all orders with the microscopic degeneracy, but misses non-perturbative corrections which are computable in the heterotic dual. Using these examples we refine the previous proposals and comment on their domain of validity as well as on the relevance of helicity supertraces.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d5a488ed7aedcc858d76f191844e649ccfb3ed65

How researchers see this paper

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

In Geometry and Topology

1. Ashoke Sen
2. B. Pioline
3. C. Vafa
4. G. Moore
5. D. Gaiotto
6. A. Dabholkar
7. Frederik Denef
8. N. Warner

In Nuclear and High Energy Physics

1. Ashoke Sen
2. B. Pioline
3. Frederik Denef
4. I. Bena
5. N. Warner
6. G. Moore
7. A. Dabholkar
8. S. Trivedi

In Statistical and Nonlinear Physics

1. Ashoke Sen
2. B. Pioline
3. N. Warner
4. A. Dabholkar
5. I. Bena
6. G. Moore
7. Frederik Denef
8. S. Trivedi

Citations in the corpus

• Quantum black holes, localization, and the topological string (2010, background): “It has been pointed out that agreement with statistical entropy requires modifying the OSV conjecture by including additional measure factors and nonperturbative corrections [24, 25, 26, 27, 28, 29].”
• Black hole entropy function, attractors and precision counting of microstates (2007, methodology): “Instead we calculate Wald’s entropy using the one particle irreducible (1PI) effective action(46) and relate it directly to the statistical entropy (45)Even the precision tests of [175, 176] involving small black holes really tests the relation between the topological string partition function and t”
• Precision Counting of Small Black Holes (2005, methodology): “bosons in the two transverse directions, ξ(v) = Y∞ n=1 (1− qn)2 (1− qne 2πiv)(1−qne− πiv) = 2η3 sinπv θ 1(v) (2.37) θE 8[1] is the numerator of the character of the E 8 current algebra at level 1, θE8[1] = 1 2 θ8 3 +θ 8 4 +θ 8 2 (2.38) and Z 6,6 is the partitionfunction ofbosonic zero-modes onT6. By”
• Black holes, black rings and their microstates (2007, background): “Reviews of this can be found in [60, 61], and a limited sample of work that is related to the exploration presented here can be found in [62, 63, 64 , 65, 66, 145, 146, 147, 148, 149].”
• Microscopic black hole entropy in theories with higher derivatives (2005, unknown): “June, 2005 1 pkraus@physics.ucla.edu 2 larsenf@umich.edu”
• Quantum Black Holes, Wall Crossing, and Mock Modular Forms (2012, background): “onsiderations generalize in a straightforward way to congruence subgroups of SL(2;Z) which are relevant for counting the DH-states in various orbifold compactications with N= 4 or N= 2 supersymmetry [29, 104, 30]. 4. Jacobi forms 4.1 Basic denitions Consider a holomorphic function ’(˝;z) from H C to”
• Hartle–Hawking Wave-Function for Flux Compactifications: the Entropic Principle (2005, background): “which suggest how to define topological strings beyond perturbation theory. 5 See also [ 22 ].”
• New connections between 4D and 5D black holes (2005, background): “3) 1 As discussed in [1] and [5] [6] there are a number of subtleties in interpreting the 4D version of this formula which of course also pertain here.”
• Lectures on black holes, topological strings and quantum attractors (2006, background): “20), in the saddle point approximation, predicts [70, 64]”
• Black hole microstates and attractor without supersymmetry (2006, background): “For a number of examples of both small and large black holes the two entropies agree to all orders in a perturbation theory in inverse charges going well beyond the thermodynamic Bekenstein-Hawking result [10, 11, 12, 13, 14, 15].”
• Split states, entropy enigmas, holes and halos (2007, background): “The use of the fareytail expansion in this problem was suggested in [11] and is dual to the M-theory derivations of [18, 28, 47].”