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We propose a generalisation of the Wess-Zumino-Novikov-Witten (WZNW) model, formulated on a holomorphic extension of supersymmetric three-dimensional Anti-de Sitter space, which holographically reproduces the tree-level maximally-helicity-violating (MHV) celestial amplitudes for gravitons in supergravity and gluons in four-dimensional supersymmetric Yang-Mills (SYM) theory.

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