James Bonifacio (Cambridge U.), Bootstrap bounds for hyperbolic manifolds

Wednesday 1 Jun 2022, 11:00 → 12:00 Europe/Stockholm

Albano 3: 6228 - Mega (22 seats) (Albano Building 3)

Abstract: The 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 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 eigenvalues of Laplacian operators on compact manifolds, analogous to the conformal bootstrap bounds on conformal field theories. In this talk, I will discuss how to derive consistency conditions and derive bootstrap bounds for hyperbolic manifolds, a class of manifolds that are important in many parts of mathematics and physics. In the case of closed Riemann surfaces, we will see that there are manifolds that almost saturate the bootstrap bounds.