Abstract
We show the equality between macroscopic and microscopic (statistical) black hole entropy for a class of four dimensional non-supersymmetric black holes in \( \mathcal{N} \) = 2 supergravity theory, up to the first subleading order in their charges. This solves a long standing entropy puzzle for this class of black holes. The macroscopic entropy has been computed in the presence of a newly derived higher-derivative supersymmetric invariant of [1], connected to the five dimensional supersymmetric Weyl squared Lagrangian. Microscopically, the crucial role in obtaining the equivalence is played by the anomalous gauge gravitational Chern-Simons term.
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Banerjee, N., Bansal, S. & Lodato, I. The resolution of an entropy puzzle for 4D non-BPS black holes. J. High Energ. Phys. 2016, 142 (2016). https://doi.org/10.1007/JHEP05(2016)142
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DOI: https://doi.org/10.1007/JHEP05(2016)142