PIRSA:19120015

Unitarization from geometry

Bonifacio, J. (2019). Unitarization from geometry. Perimeter Institute. https://pirsa.org/19120015

Bonifacio, James. Unitarization from geometry. Perimeter Institute, Dec. 17, 2019, https://pirsa.org/19120015 

          @misc{ pirsa_PIRSA:19120015,
            doi = {10.48660/19120015},
            url = {https://pirsa.org/19120015},
            author = {Bonifacio, James},
            keywords = {Cosmology},
            language = {en},
            title = {Unitarization from geometry},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {dec},
            note = {PIRSA:19120015 see, \url{https://pirsa.org}}
          }

James Bonifacio Case Western Reserve University

DOI 10.48660/19120015
Collection
Talk Type Scientific Series
Subject

Abstract

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 in detail this mechanism of unitarization for general dimensional reductions of pure gravity and show that it leads to some interesting constraints on the eigenfunctions and eigenvalues of the scalar Laplacian on closed manifolds. A consequence of these constraints is that there exists an upper bound on the gaps between Kaluza-Klein excitations of the graviton, which applies also to Calabi-Yau compactifications of string theory.