Subtracted Geometry from Harrison Transformations: II

TL;DR

This paper extends the analysis of subtracted geometries to five-dimensional multi-charge black holes, demonstrating their placement within a 3d duality orbit through dimensional reductions and supergravity frameworks.

Contribution

It generalizes previous work by including multi-charge black holes and explores their duality properties via dimensional reductions in supergravity.

Findings

Multi-charge black holes lie in a 3d duality orbit.

Dimensional reduction techniques reveal duality relationships.

Analysis connects to existing supergravity and c-map frameworks.

Abstract

We extend our previous study (arXiv:1203.5088) to the case of five-dimensional multi-charge black holes, thus showing that these configurations and their subtracted geometries also lie in a 3d duality orbit. In order to explore the 3d duality orbit, we do a timelike reduction from 5d to 4d and a spacelike reduction from 4d to 3d. We present our analysis in the notation of Euclidean N=2 supergravity and its c-map. We also relate our analysis to that of Cveti\v{c}, Guica, and Saleem.