A d-dimensional stress tensor for Mink(d+2) gravity

作者：Kapec Daniel^*; Mitra Prahar

来源：The Journal of High Energy Physics, 2018, 2018(5): 186.

DOI：10.1007/JHEP05(2018)186

• Conformal Field Theory
• Field Theories in Higher Dimensions
• Models of Quantum Gravity
• Scattering Amplitudes

We consider the tree-level scattering of massless particles in (d+2)-dimensional asymptotically flat spacetimes. The 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 Md. 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 CFTd, respectively.

• 出版日期2018-5-29