Hyperkähler gravity and hyperholomorphic gauge theory in 4m dimensions have chiral algebras Lham(C^{2m}) and Lg[C^{2m}] arising from twistor space and realized as soft symmetry algebras under a 2-sphere collinear limit.
Supertranslations in Higher Dimensions Revisited
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In this paper, we revisit the question of identifying Soft Graviton theorem in higher (even) dimensions with Ward identities associated with Asymptotic symmetries. Building on the prior work of \cite{strominger}, we compute, from first principles, the (asymptotic) charge associated to Supertranslation symmetry in higher even dimensions and show that (i) these charges are non-trivial, finite and (ii) the corresponding Ward identities are indeed the soft graviton theorems.
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Twistorial chiral algebras in higher dimensions
Hyperkähler gravity and hyperholomorphic gauge theory in 4m dimensions have chiral algebras Lham(C^{2m}) and Lg[C^{2m}] arising from twistor space and realized as soft symmetry algebras under a 2-sphere collinear limit.