Logarithmic corrections to black hole entropy: the nonBPS branch
Abstract
We compute the leading logarithmic correction to black hole entropy on the nonBPS branch of 4D N≥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 KaluzaKlein theory, we discuss in detail its embedding into N=8 , 6, 4, 2 supergravity, its spectrum of quadratic fluctuations in all these environments, and the resulting quantum corrections. We find that the canomaly vanishes only when N≥6 , in contrast to the BPS branch where c vanishes for all N≥2 . We briefly discuss potential repercussions this feature could have in a microscopic description of these black holes.
 Publication:

Journal of High Energy Physics
 Pub Date:
 May 2018
 DOI:
 10.1007/JHEP05(2018)079
 arXiv:
 arXiv:1801.01926
 Bibcode:
 2018JHEP...05..079C
 Keywords:

 Black Holes in String Theory;
 Extended Supersymmetry;
 High Energy Physics  Theory
 EPrint:
 41 pages, 8 tables. v2: minor typos corrected, the version published on JHEP