Abstract: This talk summarizes the results of my doctoral work on correlation functions of spinning operators in conformal and superconformal field theories (CFTs and SCFTs). The principal idea involves adapting techniques from CFTs to superconformal theories and constructing superconformal invariants built out of three superspace points. These invariants, classified by their parity properties, are then used to express spinning three-point correlators in SCFTs.  

The primary result of this thesis is the computation of the structural forms of a large class of spinning 3-point correlators in 3D and 4D SCFTs. We individually consider 3D SCFTs with N=2,3,4 and 4D SCFTs with N=1 superconformal symmetry, classifying the parity-even and parity-odd sectors for each correlator. Imposing conservation constraints on the operators further fixes the correlator in terms of a few numerical (OPE) coefficients. This classification provides the necessary kinematical data for modern non-perturbative studies of SCFTs, investigation of higher-point correlation functions, and the development of the superconformal bootstrap program for spinning correlators.

​About the Speaker: Aditya Jain is a PhD candidate at Ashoka University who submitted his thesis in October 2025. He is currently employed as a visiting researcher at IIT Madras, Chennai. His research interests include aspects of conformal and superconformal field theory. He is presently working with Prof. Suresh Govindarajan on the classification of rational conformal field theories (RCFTs) using vector-valued modular forms, and also aims to study problems pertaining to the intersections of CFTs with statistical lattice models.

​Looking forward to your active participation