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Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates

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abstract

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 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.

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hep-th 4 gr-qc 1

years

2026 2 2025 3

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representative citing papers

Logarithm of charge ratio in black hole entropy

hep-th · 2026-05-28 · unverdicted · novelty 6.0

Macroscopic computation of charge-ratio logarithmic corrections to black hole entropy agrees with microscopic results in N=4 and N=8 string theories after including string-scale cutoff, dilaton-dependent measure, Kalb-Ramond variable, and microcanonical ensemble.

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