## Video URL

http://pirsa.org/23070042# Research Talk 18 - Bespoke Dual Resonance

### APA

(2023). Research Talk 18 - Bespoke Dual Resonance. Perimeter Institute for Theoretical Physics. http://pirsa.org/23070042

### MLA

Research Talk 18 - Bespoke Dual Resonance. Perimeter Institute for Theoretical Physics, Jul. 26, 2023, http://pirsa.org/23070042

### BibTex

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

## 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.