Born-Infeld Corrections to the Entropy Function of Heterotic Black Holes

TL;DR

This paper investigates how Born-Infeld and higher curvature corrections influence the entropy and near-horizon geometry of extremal heterotic black holes, confirming consistency with known solutions in the alpha'→0 limit.

Contribution

It demonstrates that Born-Infeld terms affect the near-horizon geometry and entropy, extending the attractor mechanism to include these corrections in heterotic string theory.

Findings

Born-Infeld terms modify the near-horizon geometry.

Attractor mechanism remains valid with higher curvature terms.

Entropy matches standard two-charge black holes in the limit.

Abstract

We use the black hole entropy function to study the effect of Born-Infeld terms on the entropy of extremal black holes in heterotic string theory in four dimensions. We find that after adding a set of higher curvature terms to the effective action, attractor mechanism works and Born-Infeld terms contribute to the stretching of near horizon geometry. In the alpha'--> 0 limit, the solutions of attractor equations for moduli fields and the resulting entropy, are in conformity with the ones for standard two charge black holes.