2021/06/29 by Dharmesh Jain, Jain, Dharmesh
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2106.15126
openalex publication_date 2021/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We continue the study of partition functions of 5d supersymmetric theories on manifolds taking the form of a twisted product M3× Σ_\mathfrakg with Σ_\mathfrakg denoting a Riemann surface of genus \mathfrakg. The 5d theory compactified on Σ_\mathfrakg leads to a novel class of 3d theories in IR, whose existence at large N is expected from holography. Focussing on M3 being S2× S1 without or with a topological twist on the 2-sphere leads to the superconformal index or topologically twisted index, respectively, for such a class of 3d theories. We discuss the large N limit of these partition functions and find new relations between them and other well-known 5d partition functions, with interesting consequences for the 3d indices.