Entropy of black holes in D=5 , N=2 supergravity and AdS central charges Original

We consider general black holes in D=5 , N=2 supergravity coupled to vector multiplets, and discuss the issue of microstate counting from various viewpoints. The statistical entropy is computed for the near-extremal case using the central charge of the AdS2 factor appearing in the near-horizon geometry. Furthermore, we explicitly construct the duality transformation connecting electrically charged black holes to magnetically charged black strings, under which the AdS2×S3 near horizon geometry becomes AdS3×S2 . For AdS3 the counting of microstates correctly reproduces the Bekenstein–Hawking entropy, thus resolving the discrepancy previously found for AdS2 .