# A d-dimensional stress tensor for Minkd+2 gravity

Journal of High Energy Physics, May 2018

Abstract We consider the tree-level scattering of massless particles in (d+2)-dimensional asymptotically flat spacetimes. The $$\mathcal{S}$$-matrix elements are recast as correlation functions of local operators living on a space-like cut ℳ d of the null momentum cone. The Lorentz group SO(d + 1, 1) is nonlinearly realized as the Euclidean conformal group on ℳ d . Operators of non-trivial spin arise from massless particles transforming in non-trivial representations of the little group SO(d), and distinguished operators arise from the soft-insertions of gauge bosons and gravitons. The leading soft-photon operator is the shadow transform of a conserved spin-one primary operator J a , and the subleading soft-graviton operator is the shadow transform of a conserved spin-two symmetric traceless primary operator T ab . The universal form of the soft-limits ensures that J a and T ab obey the Ward identities expected of a conserved current and energy momentum tensor in a Euclidean CFT d , respectively.

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Daniel Kapec, Prahar Mitra. A d-dimensional stress tensor for Minkd+2 gravity, Journal of High Energy Physics, 2018, 186, DOI: 10.1007/JHEP05(2018)186