On the Leibnitzian identity between three-dimensional $\mathcal{N}=1$ QFTs

Tomonobu Toda
Comments: 24 pages, 7 figures

We study the Leibnitzian identity between three-dimensional $\mathcal{N}=1$ QFTs in the presence of a particular charge and element of the gauge group. In particular, we give a simple and explicit expression for the Leibnitzian identity for the $1/2$-charge $g$ at four points and compute its Leibnitzian identity for the $1/2$-charge $g$ at two points. We also analyze the Leibnitzian identity between the $g$ and the $1/3$-charge $h$ in the presence of a charge and element of the gauge group.