The asymptotic symmetry algebra of $\mathcal{ N}=1$ supergravity was recently constructed using the well-known $2$D celestial CFT (CCFT) technique in ArXiv: 2007.03785. In this paper, we extend the construction to the maximally supersymmetric four dimensional $\mathcal{ N}=8$ supergravity theory in asymptotically flat spacetime and construct the extended asymptotic symmetry algebra, which we call $\mathcal{ N}=8$ $\mathfrak{ sbms}_4$. We use the celestial CFT technique to find the appropriate currents for extensions of $\mathcal{ N}=8$ super-Poincar\'{ e} and $\mathrm{ SU}(8)_R$ R-symmetry current algebra on the celestial sphere $\mathcal{ CS}^2$. We generalise the definition of shadow transformations and show that there is \textit{ no} infinite dimensional extension of the global $\mathrm{ SU}(8)_R$ algebra in the theory.
Categories: hep-th