Logarithmic Corrections to Twisted Indices from the Quantum Entropy   Function
  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. 
Abhishek Chowdhury, Rajesh Kumar Gupta, Shailesh Lal, Milind Shyani,   Somyadip Thakur
hep-th