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arXiv · 2205.01495

Graviton partial waves and causality in higher dimensions

Simon Caron-Huot·Yue-Zhou Li·Julio Parra-Martinez·David Simmons-Duffin
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Abstract

Do gravitational interactions respect the basic principles of relativity and quantum mechanics? We show that any graviton S-matrix that satisfies these assumptions cannot significantly differ from General Relativity at low energies. We provide sharp bounds on the size of potential corrections in terms of the mass M of new higher-spin states, in spacetime dimensions D>=5 where the S-matrix does not suffer from infrared ambiguities. The key novel ingredient is the full set of SO(D-1) partial waves for this process, which we show how to efficiently compute with Young tableau manipulations. We record new bounds on the central charges of holographic conformal theories.

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Simon Caron-Huot, Yue-Zhou Li, Julio Parra-Martinez, David Simmons-Duffin. 2022-05-03. Graviton partial waves and causality in higher dimensions. https://doi.org/10.1103/physrevd.108.026007

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