Theory HEP Seminar

Bootstrap bounds for hyperbolic manifolds

James Bonifacio

University of Cambridge

Scattering amplitudes of massive spinning 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. This mechanism of unitarisation leads to consistency conditions that can be used to derive bootstrap bounds on the eigenfunctions and eigenvalues of Laplacian operators on compact manifolds, analogous to conformal bootstrap bounds on conformal field theories. In this talk, I will explain how a similar approach can be used to derive an infinite number of consistency conditions for hyperbolic manifolds. In the case of closed Riemann surfaces, I will show that some of the resulting bootstrap bounds are nearly saturated by certain genus-2 surfaces.