U-duality between Three and Higher Dimensional Black Holes

TL;DR

This paper demonstrates that D-brane configurations for higher-dimensional black holes can produce lower-dimensional black hole geometries through specific harmonic function choices, revealing a U-duality that links black holes across dimensions.

Contribution

It establishes a U-duality between three and higher-dimensional black holes via D-brane configurations and harmonic function choices, unifying their properties within a common framework.

Findings

Lower-dimensional black holes emerge from higher-dimensional D-brane setups.

U-duality connects black hole geometries across different dimensions.

Properties of black holes in the same universality class can be inferred from three-dimensional cases.

Abstract

We show that the D-brane configurations for the five and four-dimensional black holes give the geometry of two and three-dimensional ones as well. The emergence of these lower dimensional black holes from the D-brane configurations for those of higher dimensions comes from the choice of the integration constant of harmonic functions, which decides the asymptotic behavior of the metric and other fields. We show that they are equivalent, which are connected by U-dual transformations. This means that stringy black holes in various dimensions are effectively in the same universality class and many properties of black holes in the same class can be infered from the study of those of the three-dimensional black holes.