Correlator-Level Verification of Mass and Current Maps in Abelian Chern-Simons Dualities

Abstract

We construct an explicit local operator realization that reproduces Dirac fermion correlation functions in three spacetime dimensions within an Abelian Chern-Simons framework and use it to examine the conjectured operator and deformation maps of fermion-boson duality directly at the level of correlation functions. We show that the predicted relation between bosonic and fermionic mass deformations, including the relative sign, is realized quantitatively, and that the fermionic U(1) current coincides with the topological gauge current inside correlation functions at the infrared fixed point. These results provide a direct correlator-level verification of key features of Abelian Chern-Simons dualities, going beyond arguments based solely on phase structure, anomaly matching, or large-N considerations.