Critical scaling dimension of D-module representations of N=4,7,8 Superconformal Algebras and constraints on Superconformal Mechanics

Sadi Khodaee, Francesco Toppan

At critical values of the scaling dimension $\lambda$, supermultiplets of the global $\mathcal{N}$-Extended one-dimensional Supersymmetry algebra induce $D$-module representations of finite…