The recent discovery of an explicit solution of a black hole on the resolved orbifold ℂn/ℤn makes it possible to investigate the existence of p-branes on the orbifold. In particular, it is possible with reasonable precision to verify the prediction that an M2-brane on ℂ4/ℤ4 in eleven dimensions and a D3-brane on ℂ3/ℤ3 in ten dimensions have a family of black p-branes on the orbifold ℂn/ℤn. These solutions are extremal and have regular horizons S2n−1/ℤn without any naked singularity, with near horizon geometries AdSp+2 × S2n−1/ℤn.
- Black Holes
ASJC Scopus subject areas
- Nuclear and High Energy Physics