2022/10/21 by Alfredo González Lezcano, Lezcano, Alfredo González, Maximilian Jerdee +3 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2210.12065
openalex publication_date 2022/10/21 · openalex created_date 2022/10/30 · openalex updated_date 2026/07/28
We consider the superconformal index of three-dimensional \cal N=2 supersymmetric field theories computed via localization on S1× S2. We systematically develop an expansion where the ratio of the radius of S1 to the radius of S2 is taken very small -- a Cardy-like expansion. We emphasize the sub-leading structures in this Cardy-like expansion as well as their interplay with the large-N limit for theories with gauge group of the form product of U(N) factors. We demonstrate that taking the large-N limit first leads to an expression for the index that only includes terms proportional to 1/β and powers of βi=0,1,2 where β is the ratio of radii. As we depart from the β→ 0 limit for finite N, we find indications of non-perturbative contributions of the form e-1/β. For the ABJM theory we explore the implications of the Cardy-like expansion for corrections to the entropy of the rotating, electricallly charged, asymptotically AdS4 dual black hole. Interestingly, we find that the corrections in β to the entropy can be accounted for by appropriately shifting the electric charges and the angular momentum