%0 Journal Article %T Fractional Branes and the Entropy of 4D Black Holes %A N. R. Constable %A C. V. Johnson %A R. C. Myers %J Physics %D 2000 %I arXiv %R 10.1088/1126-6708/2000/09/039 %X We reconsider the four dimensional extremal black hole constructed in type IIB string theory as the bound state of D1-branes, D5-branes, momentum, and Kaluza-Klein monopoles. Specifically, we examine the case of an arbitrary number of monopoles. Consequently, the weak coupling calculation of the microscopic entropy requires a study of the D1-D5 system on an ALE space. We find that the complete expression for the Bekenstein-Hawking entropy is obtained by taking into account the massless open strings stretched between the fractional D-branes which arise in the orbifold limit of the ALE space. The black hole sector therefore arises as a mixed Higgs-Coulomb branch of an effective 1+1 dimensional gauge theory. %U http://arxiv.org/abs/hep-th/0008226v2