Precision Entropy of Spinning Black Holes

Understand

We construct spinning black hole solutions in five dimensions that take into account the mixed gauge-gravitational Chern-Simons term and its supersymmetric completion.

• The resulting entropy formula is discussed from several points of view.
• We include a Taub-NUT base space in order to test recent conjectures relating 5D black holes to 4D black holes and the topological string.
• Our explicit results show that certain charge shifts have to be taken into account for these relations to hold.