2020/08/31 by Leopoldo A. Pando Zayas, Yu Xin · 1 citation
Physics and Astronomy · #hep-th #gr-qc
paper · pdf · doi:10.1103/physrevd.103.026003
published as Phys. Rev. D 103, 026003 (2021) · 44 pages, 18 Figures, 5 Tables. V2: Minor corrections, references added
arxiv created 2020/12/05 · arxiv updated 2021/01/13
We numerically study the topologically twisted index of several three-dimensional supersymmetric field theories on a genus g Riemann surface times a circle, Σg× S1. We show that for a large class of theories with leading term of the order N3/2, 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 AdS4× M7 black holes for a large class of Sasaki-Einstein manifolds, M7. The matching of the logarithmic correction relies on a generic cohomological property of M7 and it is independent of the black hole charges. We argue that our supergravity results apply also to rotating, electrically charged asymptotically AdS4× M7 black holes. We present explicitly the quiver gauge theories and the gravity side corresponding to M7=N0,1,0, V5,2 and Q1,1,1.