Universal logarithmic behavior in microstate counting and the dual one-loop entropy of AdS4 black holes

We numerically study the topologically twisted index of several three-dimensional super-symmetric field theories on a genus g Riemann surface times a circle, Sigma(g) x S-1. We show that for a large class of theories with leading term of the order N-3/2, where N is generically the rank of the gauge group, there is a universal logarithmic correction of the form g-1/2 log N. We explain how this logarithmic subleading correction can be obtained as a one-loop effect on the dual supergravity theory for magnetically charged, asymptotically AdS(4) x M-7 black holes for a large class of Sasaki-Einstein manifolds, M-7. The matching of the logarithmic correction relies on a generic cohomological property of M-7 and it is independent of the black hole charges. We argue that our supergravity results apply also to rotating, electrically charged asymptotically AdS(4) x M-7 black holes. We present explicitly the quiver gauge theories and the gravity side corresponding to M-7 = N-0,N-1,N-0, V-5,V-2 and Q(1,1,1).

Automated summary

The study investigates the topologically twisted index of three-dimensional super-symmetric field theories on a specific geometric background and identifies a universal logarithmic correction. This correction translates into a one-loop effect on the dual supergravity theory, and its matching depends on a generic cohomological property of particular manifolds.