On Attractor Flow and Small Black Holes

TL;DR

This paper investigates the attractor flow and near horizon geometry of small black holes in heterotic string theory, revealing properties of the entropy function and stability under corrections.

Contribution

It demonstrates that the Hessian of Sen's entropy function exhibits standard attractor properties and factorization at fixed points, with stability preserved under $oldsymbol{ extit{ extalpha}}^{ extbf{ extprime}}$-corrections.

Findings

Hessian of entropy function shows attractor properties

Factorization at attractor fixed points

Stability conditions preserved under $ extalpha'$-corrections

Abstract

We study the attractor flow and near horizon geometry of two-charge small black holes in heterotic string theory. The Hessian of Sen's entropy function with respect to the moduli fields has standard attractor properties and shows the interesting factorization at the attractor fixed points. We notice that the stability conditions are preserved under arbitrary $\alpha^{\prime}$-corrections to the black hole solutions.