Research Talk 18 - Bespoke Dual Resonance

          @misc{ pirsa_PIRSA:23070042,
            doi = {10.48660/23070042},
            url = {https://pirsa.org/23070042},
            author = {},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Research Talk 18 - Bespoke Dual Resonance},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {jul},
            note = {PIRSA:23070042 see, \url{https://pirsa.org}}
          }
          

Abstract

String amplitudes famously accomplish several extraordinary and interrelated mathematical feats, including an infinite spin tower, tame UV behavior, and dual resonance: the ability of the amplitude to be represented as a sum over a single scattering channel. But how unique are these properties to string amplitudes? In this talk, I will demonstrate that it is possible to construct infinite new classes of tree-level, dual resonant amplitudes with customizable, non-Regge mass spectra. Crucial ingredients are Galois theory and a particular dlog transformation of the Veneziano amplitude. The formalism generalizes naturally to n-point scattering and allows for a worldsheet-like integral representation. In the case of a Regge spectrum, I will investigate whether the structure of the Veneziano amplitude can be bootstrapped from first principles. Even there, we will find that there is extra freedom in the dynamics, allowing for a new class of dual resonant hypergeometric amplitudes with a linear spectrum.