The Resolution of an Entropy Puzzle for 4D non-BPS Black Holes

Abstract

We show the equality between macroscopic and microscopic 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 \cite{Butter:2013lta}, 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.

29 pages. arXiv admin note: text overlap with arXiv:1010.2150 by other authors