Logarithmic Corrections to Twisted Indices from the Quantum Entropy Function

TL;DR

This paper calculates logarithmic corrections to twisted indices in certain string theories using the Quantum Entropy Function, finding they vanish and match microscopic predictions.

Contribution

It provides the first computation of logarithmic corrections to twisted indices in $ ext{AdS}_2$ quantum gravity frameworks, confirming their vanishing.

Findings

Logarithmic corrections to twisted indices vanish.

Results match large-charge microscopic expansions.

Supports the consistency of quantum gravity and string theory predictions.

Abstract

We compute logarithmic corrections to the twisted index $B^g_6$ in four-dimensional $\mathcal{N}=4$ and $\mathcal{N}=8$ string theories using the framework of the Quantum Entropy Function. We find that these vanish, matching perfectly with the large--charge expansion of the corresponding microscopic expressions.