OSp(4|4) superconformal currents in three-dimensional N=4 Chern-Simons quiver gauge theories

TL;DR

This paper explicitly proves that three-dimensional N=4 Chern-Simons-matter theories possess a complete OSp(4|4) superconformal symmetry, constructs the associated conserved currents, and explores the enhancement to N=5 supersymmetry.

Contribution

It explicitly demonstrates the superconformal symmetry in N=4 Chern-Simons theories and derives the currents, including the enhancement to N=5 superconformal currents.

Findings

Confirmed OSp(4|4) superconformal symmetry in N=4 theories

Constructed conserved superconformal currents

Showed enhancement to N=5 superconformal currents

Abstract

We prove explicitly that the general D=3, N=4 Chern-Simons-matter (CSM) theory has a complete OSp(4|4) superconformal symmetry, and construct the corresponding conserved currents. We re-derive the OSp(5|4) superconformal currents in the general N=5 theory as special cases of the OSp(4|4) currents by enhancing the supersymmetry from N=4 to N=5. The closure of the full OSp(4|4) superconformal algebra is verified explicitly.