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A bstract From the classical SO (N=8) SO N = 8 extended superconformal algebra between the lowest N=8 N = 8 multiplet in two dimensions obtained by Ademollo et al. (1976), we generalize it for the arbitrary N=8 N = 8 multiplet with manifest SU (8) symmetry containing the bosonic w 1+∞ algebra. By modifying this N=8 N = 8 supersymmetric w 1+∞ algebra in two dimensions, we propose a consistent celestial soft current algebra between the graviton, the gravitinos, the graviphotons, the graviphotinos, and the scalars in the N=8 N = 8 supergravity theory with SO (8) (or SU (8) ) global symmetry in four dimensions initiated by de Wit and Freedman (at Stony Brook in 1977). The twenty five couplings in this celestial algebra can be written in terms of eight arbitrary couplings via the Jacobi identity.
Ahn et al. (Wed,) studied this question.