Precision Counting of Small Black Holes

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

236 citations recorded by the source corpus.

It has recently been proposed that a class of supersymmetric higher-derivative interactions in = 2 supergravity may encapsulate an infinite number of finite size corrections to the microscopic entropy of certain supersymmetric black holes. If this proposal is correct, it allows one to probe the string theory description of black-hole micro-states to far greater accuracy than has been possible before. We test this proposal for ``small'' black holes whose microscopic degeneracies can be computed exactly by counting the corresponding perturbative BPS states. We also study the ``black hole partition sum'' using general properties of of BPS degeneracies. This complements and extends our earlier work in [1].

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

View Paper: https://www.semanticscholar.org/paper/7847d32b2ddfe2eb5e8747036edf42df56564e4a

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

In Nuclear and High Energy Physics

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

In Statistical and Nonlinear Physics

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

Citations in the corpus

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• Exact and Asymptotic Degeneracies of Small Black Holes (2005, background): “the same charges as untwisted states, hence dominate the helicity supertrace [ 22 ].”
• 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”
• 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): “ 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]. Much of this success is crucially tied to supersymmetry and it is interest”
• Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates (2011, background): “The (gtop/2π) χ/24 factor was not present explicitly in the original OSV definition of Ztop but first made its appearance in [96].”
• 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].”
• Split states, entropy enigmas, holes and halos (2007, background): “in section 6 of [12] that this partition function is everywhere divergent, but that this can be cured in a natural way by adding a Boltzmann weight e−βH with H the BPS energy of the state.”
• Black Holes, Qubits and Octonions (2008, unknown): “See also [142, 143, 144, 145, 146, 147].”