String Theory Effects on Five-Dimensional Black Hole Physics

TL;DR

This paper reviews recent advances in understanding quantum and string corrections to five-dimensional BPS black holes and strings within supergravity, highlighting new solution methods and comparisons with four-dimensional theories.

Contribution

It introduces an off-shell supergravity formulation and reviews methods for analyzing supersymmetric solutions with quantum corrections in five dimensions.

Findings

Quantum corrections modify black hole and string geometries.

New attractor solutions incorporating string effects.

Distinct features compared to four-dimensional theories.

Abstract

We review recent developments in understanding quantum/string corrections to BPS black holes and strings in five-dimensional supergravity. These objects are solutions to the effective action obtained from M-theory compactified on a Calabi-Yau threefold, including the one-loop corrections determined by anomaly cancellation and supersymmetry. We introduce the off-shell formulation of this theory obtained through the conformal supergravity method and review the methods for investigating supersymmetric solutions. This leads to quantum/string corrected attractor geometries, as well as asymptotically flat black strings and spinning black holes. With these solutions in hand, we compare our results with analogous studies in four-dimensional string-corrected supergravity, emphasizing the distinctions between the four and five dimensional theories.