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Leading soft theorem for multiple gravitini
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We compute leading soft theorem for multiple gravitinos (and graviton) in an arbitrary theory of supergravity with an arbitrary number of finite energy particles with arbitrary mass and arbitrary spin by extending Sen's approach \cite{Sen:2017xjn} to fermionic symmetry. Our result is true for any compactification of type II and Heterotic superstring theory. Our result is valid at all orders in perturbation for four and higher spacetime dimensions.
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A Supersymmetric $w_{1+\infty}$ Symmetry, the Extended Supergravity and the Celestial Holography
An N=4 supersymmetric w_{1+∞} algebra at λ=1/4 is proposed as the celestial soft current algebra of N=4 SO(4) supergravity, with truncations covering N=2,3 and matter-coupled cases.
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