Logarithmic correction to black hole entropy in universal low-energy string theory models

TL;DR

This paper computes the quantum logarithmic corrections to black hole entropy in various Einstein-Maxwell-dilaton models, including string theory embeddings, revealing non-topological features in AdS backgrounds and broadening understanding of black hole microstates.

Contribution

It introduces a universal Euclidean gravity framework to calculate logarithmic entropy corrections for diverse black holes in string-inspired models, including AdS cases.

Findings

Logarithmic corrections are computed for asymptotically flat and AdS black holes.

AdS results are non-topological, offering new insights into black hole microstates.

The method applies to extremal and non-extremal black holes in string theory models.

Abstract

We calculate the logarithmic correction to the entropy of asymptotically flat and AdS black holes (rotating, non-rotating, charged, and uncharged) embedded in Einstein-Maxwell-dilaton (EMD) theories with $U(1)$-charged. The leading quantum gravitational corrections are achieved in both extremal and non-extremal limits of black hole temperature by designing a common Euclidean gravity setup that evaluates the "logarithmic term" from one-loop effective actions via heat kernel method-based calculations. EMD theories are universal building blocks of compactified string theory or supergravity models in 4D. For a concrete example, we generalize the entire setup and calculate logarithmic corrections for black holes in $U(1)^2$-charged EMD models intersecting with $\mathcal{N}=4$ ungauged and gauged bosonic supergravity. In contrast to flat backgrounds, all the AdS$_4$ results are found to be non-topological, providing a wider "infrared window" into the microscopic degrees of freedom of black holes in string theory.