Superconformal current ($G(z)$)

In a two-dimensional supersymmetric conformal field theory, the superconformal current has weight $3/2$ and its self-OPE closes on the stress tensor and the central charge.

The holomorphic N=1 super-Virasoro algebra extends the Virasoro algebra by fermionic modes $G_r$ satisfying $\{G_r,G_s\}=2L_{r+s}+(c/12)(4r^2-1){\delta }_{r,-s}$.