A One-loop Test of Quantum Black Holes in Anti de Sitter Space

TL;DR

This paper computes quantum corrections to the entropy of AdS black holes in supergravity and confirms their consistency with dual field theory predictions, enhancing understanding of quantum effects in holography.

Contribution

It provides the first one-loop quantum correction calculation for AdS black hole entropy in eleven-dimensional supergravity, matching microscopic dual field theory results.

Findings

Logarithmic correction matches dual field theory index

Clarifies quantum correction behavior in extremal AdS black holes

Supports holographic correspondence at quantum level

Abstract

Within eleven dimensional supergravity we compute the logarithmic correction to the entropy of magnetically charged asymptotically AdS${}_4$ black holes with arbitrary horizon topology. We find perfect agreement with the expected microscopic result arising from the dual field theory computation of the topologically twisted index. Our result relies crucially on a particular limit to the extremal black hole case and clarifies some aspects of quantum corrections in asymptotically AdS spacetimes.