Logarithmic Corrections to Twisted Indices from the Quantum Entropy Function

Abstract

We compute logarithmic corrections to the twisted index $B_6^g$ 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.

v2 : 22 pages, presentation significantly improved, published in JHEP

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