Abstract
We compute the leading logarithmic correction to black hole entropy on the non-BPS branch of 4D \( \mathcal{N}\ge 2 \) supergravity theories. This branch corresponds to finite temperature black holes whose extremal limit does not preserve supersymmetry, such as the D0 − D6 system in string theory. Starting from a black hole in minimal Kaluza-Klein theory, we discuss in detail its embedding into \( \mathcal{N}=8 \), 6, 4, 2 supergravity, its spectrum of quadratic fluctuations in all these environments, and the resulting quantum corrections. We find that the c-anomaly vanishes only when \( \mathcal{N}\ge 6 \), in contrast to the BPS branch where c vanishes for all \( \mathcal{N}\ge 2 \). We briefly discuss potential repercussions this feature could have in a microscopic description of these black holes.
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Castro, A., Godet, V., Larsen, F. et al. Logarithmic corrections to black hole entropy: the non-BPS branch. J. High Energ. Phys. 2018, 79 (2018). https://doi.org/10.1007/JHEP05(2018)079
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DOI: https://doi.org/10.1007/JHEP05(2018)079