On R**2 Corrections for 5D Black Holes

TL;DR

This paper investigates higher order supersymmetric R**2 corrections to five-dimensional extremal black holes, extending special geometry, connecting M-brane configurations, and resolving small black hole singularities.

Contribution

It introduces an extended framework for very special geometry incorporating higher derivative corrections and links near horizon geometries of wrapped M-branes with corrected black hole solutions.

Findings

Higher order corrections modify the black hole geometry.

The corrected geometry removes singularities of small black holes.

A connection between M2 and M5 brane configurations is established.

Abstract

We study higher order corrections to extremal black holes/black string in five dimensions. These higher order corrections are due to supersymmetric completion of R**2 term in five dimensions. By making use of the results we extend the notion of very special geometry when higher derivative terms are also taken into account. This can be used to make a connection between total bundle space of near horizon wrapped M2's and wrapped M5's in the presence of higher order corrections. We also show how the corrected geometry removes the singularity of a small black hole.