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Graviton scattering and geometric bootstrap bounds

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Scattering amplitudes of massive spin-2 particles generically grow with energy and lead to violations of perturbative unitarity. One way to partially soften such amplitudes is with the infinite towers of particles present in Kaluza-Klein theories. In this talk I will discuss this mechanism of unitarization and how it leads to a bootstrap procedure, analogous to the conformal bootstrap, that yields new constraints on the eigenfunctions and eigenvalues of Laplacian operators on closed Einstein manifolds.

This talk is part of the DAMTP Friday GR Seminar series.

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