A d-dimensional stress tensor for Minkd+2 gravity

Kapec, Daniel; Mitra, Prahar

doi:10.1007/jhep05(2018)186

Title: A d-dimensional stress tensor for Mink_d+2 gravity

Journal Article · 29 May 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep05(2018)186 · OSTI ID:1505224

Kapec, Daniel ^[1]; Mitra, Prahar ^[2]

Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature; Harvard Univ., Cambridge, MA (United States)
Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature, School of Natural Sciences, Inst. for Advanced Study

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 $$M$$_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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Research Organization:: Harvard Univ., Cambridge, MA (United States). Inst. for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0007870; SC0009988

OSTI ID:: 1505224

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Sub-subleading soft gravitons: New symmetries of quantum gravity? Campiglia, Miguel; Laddha, Alok arXiv https://doi.org/10.48550/arxiv.1605.09094	text	January 2016
4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT Cheung, Clifford; de la Fuente, Anton; Sundrum, Raman arXiv https://doi.org/10.48550/arxiv.1609.00732	text	January 2016
BMS Supertranslations and Not So Soft Gravitons Conde, Eduardo; Mao, Pujian arXiv https://doi.org/10.48550/arxiv.1612.08294	text	January 2016
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Asymptotic Dynamics in Perturbative Quantum Gravity and BMS Supertranslations Choi, Sangmin; Kol, Uri; Akhoury, Ratindranath arXiv https://doi.org/10.48550/arxiv.1708.05717	text	January 2017

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Title: A d-dimensional stress tensor for Mink_d+2 gravity