Asymptotic symmetry algebra of N=8 supergravity

The asymptotic symmetry algebra of N=1 supergravity was recently constructed using the well-known two-dimensional celestial conformal field (CFT) theory technique A. Fotopoulos , . In this paper, we extend the construction to the maximally supersymmetric four-dimensional N=8 supergravity theory in asymptotically flat spacetime and construct the extended asymptotic symmetry algebra, which we call N=8 sbms4. We use the celestial CFT technique to find the appropriate currents for extensions of N=8 super-Poincaré and SU(8)R R-symmetry current algebra on the celestial sphere CS2. We generalize the definition of shadow transformations and show that there is infinite dimensional extension of the global SU(8)R algebra in the theory. Published by the American Physical Society 2024