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

preprint2016arXivOpen access

Abstract

We show the equality between macroscopic and microscopic black hole entropy for a class of four dimensional non-supersymmetric black holes in N=2{\cal 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.

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