We calculate the entropy of 4-charge extremal black holes in Type IIA supersting theory by using Sen’s entropy function method. Using the low-energy effective actions in both 10D and 4D, we find precise agreements with the Bekenstein-Hawking entropy of the black hole. We also calculate the higher-order corrections to the entropy and find that they depend on the exact form of the higher-order corrections to the effective action.

• Received 16 June 2006

DOI:https://doi.org/10.1103/PhysRevD.74.064031