Correlation functions in supersymmetric Chern-Simons matter theories at large N


  Karthik Inbasekar  
Tel Aviv University, Department of particle physics

In U(N) Chern-Simons matter theories coupled to fundamental matter, physical observables can be computed exactly to all orders in the 't Hooft coupling in the large N limit. Rigorous computations have established the fact that Chern-Simons theories coupled to fundamental bosons are dual to Chern-Simons theories coupled to fundamental fermions under a duality map. In this talk, we consider a N=2 supersymmetric Chern-Simons matter theory. We compute two point and three point correlation functions of certain conserved supercurrents. Our results are consistent with the supersymmetric self-duality. We comment on the general structure of the three point functions and present a plausible computation of four point function of spin zero supercurrents. This is a work in progress.