Fractional black $p$-branes on orbifold ${\mathbb{C}}^n/{\mathbb{Z}}_n$

Abstract

The recent discovery of an explicit solution of a black hole on the resolved orbifold ${\mathbb{C}}^n/{\mathbb{Z}}_n$ 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 ${\mathbb{C}}^4/{\mathbb{Z}}_4$ in eleven dimensions and a D3-brane on ${\mathbb{C}}^3/{\mathbb{Z}}_3$ in ten dimensions have a family of black $p$-branes on the orbifold ${\mathbb{C}}^n/{\mathbb{Z}}_n$. These solutions are extremal and have regular horizons $S^{2n-1}/{\mathbb{Z}}_n$ without any naked singularity, with near horizon geometries AdS${}_{p+2}\times S^{2n-1}/{\mathbb{Z}}_n$.

13 pages, Journal version

References in corpus (3)

• D-brane Construction for Non-Abelian Walls
• Kaluza-Klein Multi-Black Holes in Five-Dimensional Einstein-Maxwell Theory
• M2-brane Flows and the Chern-Simons Level

Cited by in corpus (1)

• Orbifold black holes