AdS_5 x S^5 Black Hole Metric at O(alpha'^3)

TL;DR

This paper calculates third-order string theory corrections to the AdS_5 x S^5 black hole metric, revealing a non-factorizable metric that impacts Wilson lines and glueball spectra at finite temperature.

Contribution

It provides the first computation of O(α'^3) corrections to the AdS_5 x S^5 black hole metric, extending previous work and showing the metric's dependence on the radial coordinate.

Findings

The S^5 radius depends on the AdS_5 radial coordinate.

The metric no longer factorizes into AdS_5 and S^5 parts.

Implications for Wilson line values and glueball mass spectrum at finite temperature.

Abstract

We compute $O(\alpha'^3)$ corrections to the $AdS_5\times S^5$ black hole metric. We find that the radius of the $S^5$ depends on the radial $AdS_5$ coordinate. This completes the computation of Gubser, Klebanov and Tseytlin (hep-th/9805156). The fact that the metric no longer factorizes should modify the value of the Wilson line at finite temperature and the glueball mass spectrum.