Revisiting $\alpha'$ corrections to heterotic two-charge black holes

TL;DR

This paper derives first-order $oldsymbol{ extit{ extalpha}'}}$ corrections to heterotic two-charge black holes, computes their thermodynamic properties, and confirms consistency with the first law and recent theoretical predictions.

Contribution

It provides explicit solutions for $oldsymbol{ extalpha}'}}$-corrected heterotic black holes and verifies their thermodynamics align with recent predictions.

Findings

Thermodynamic quantities are corrected at first order in $oldsymbol{ extalpha}'}}$.

First law of black hole mechanics is satisfied with corrections.

Results agree with recent theoretical predictions by Chen, Maldacena, and Witten.

Abstract

We find solutions of the heterotic string effective action describing the first-order $\alpha'$ corrections to two-charge black holes at finite temperature. Making explicit use of these solutions, we compute the corrections to the thermodynamic quantities: temperature, chemical potentials, mass, charges and entropy. We check that the first law of black hole mechanics is satisfied and that the thermodynamics agrees with the one extracted from the Euclidean on-shell action. Finally, we show that our results are in agreement with the corrections for the thermodynamics recently predicted by Chen, Maldacena and Witten.