We show the equality between macroscopic and microscopic black hole entropy for a class of four dimensional non-supersymmetric black holes in $\cal N=2$ 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 \citeButter: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.
The Resolution of an Entropy Puzzle for 4D non-BPS Black Holes
BANSAL, SUKRUTI;
2016
Abstract
We show the equality between macroscopic and microscopic black hole entropy for a class of four dimensional non-supersymmetric black holes in $\cal N=2$ 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 \citeButter: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.Pubblicazioni consigliate
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