Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates

By Ashoke Sen. 2011

140 citations recorded by the source corpus.

Logarithmic corrections to the extremal black hole entropy can be computed purely in terms of the low energy data—the spectrum of massless fields and their interaction. The demand of reproducing these corrections provides a strong constraint on any microscopic theory of quantum gravity that attempts to explain the black hole entropy. Using quantum entropy function formalism we compute logarithmic corrections to the entropy of half BPS black holes in $${{\mathcal N}=2}$$ supersymmetric string theories. Our results allow us to test various proposals for the measure in the OSV formula, and we find agreement with the measure proposed by Denef and Moore if we assume their result to be valid at weak topological string coupling. Our analysis also gives the logarithmic corrections to the entropy of extremal Reissner–Nordstrom black holes in ordinary Einstein–Maxwell theory.

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

View Paper: https://www.semanticscholar.org/paper/a587fc2434f1b19cb90dd7f36e06a400ef939b8f

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

In Astronomy and Astrophysics

1. D. Stanford
2. G. Turiaci
3. Luca V. Iliesiu
4. J. Maldacena
5. Zhenbin Yang
6. S. Shenker
7. Phil Saad
8. Wenli Zhao

In Nuclear and High Energy Physics

1. D. Stanford
2. G. Turiaci
3. J. Maldacena
4. Phil Saad
5. Zhenbin Yang
6. Luca V. Iliesiu
7. S. Shenker
8. E. Witten

In Statistical and Nonlinear Physics

1. D. Stanford
2. G. Turiaci
3. J. Maldacena
4. Zhenbin Yang
5. Luca V. Iliesiu
6. Phil Saad
7. Marcos Mariño
8. A. Grassi

Citations in the corpus

• The statistical mechanics of near-extremal black holes (2020, unknown): “y with the density of states, showing explicitly that there is no gap in the spectrum. 26 Finally, there are well-known corrections to the partition function of an extremal black hole computed by Sen [11] coming from integrating out matter elds. Those eects can correct the extremal entropy S 0 at su”
• Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space (2016, background): “(3.19). The determinants of all matter elds in AdS 2 are conformally invariant and should not give rise to a temperature dependent contribution, but they can and do contribute to the extremal entropy [20, 21]. The correction (4.34) is such that there is no logarithmic correction to the entropy as a ”
• Logarithmic corrections to Schwarzschild and other non-extremal black hole entropy in different dimensions (2012, background): “Macroscopic results are also available for BPS black holes in N = 2 , 3 , 5 and 6 supersymmetric theories in four dimensions [20,21] but concrete microscopic results are not yet available.”
• A Tower Weak Gravity Conjecture from Infrared Consistency (2018, background): “rections. It is not known, however, if the latter follows from some fundamental consistency conditions. Logarithmic corrections to extremal black hole entropy are not universally positive. See, e.g., [52,53]. 4 need to contain an innite tower of particles satisfying such a bound. Interestingly, we n”
• A one-loop test of quantum supergravity (2012, methodology): “9) Notice that our conventions for the Grassmannian case are slightly different from the ones used in [18, 19].”
• The statistical mechanics of near-BPS black holes (2020, background): “This has been studied extensively by Sen and collaborators [33–36].”