Stringy dynamics from an amplitudes bootstrap
Clifford Cheung (Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA); Grant N. Remmen (Kavli Institute for Theoretical Physics and Department of Physics, University of California, Santa Barbara, California 93106, USA)
We describe an analytic procedure whereby scattering amplitudes are bootstrapped directly from an input mass spectrum and a handful of physical constraints: crossing symmetry, boundedness at high energies, and finiteness of exchanged spins. For an integer spectrum, this procedure gives a first principles derivation of a new infinite parameter generalization of the Veneziano amplitude that is unitary while exhibiting dual resonance and consistent high-energy behavior. Lifting to a -deformed integer spectrum, we derive the Coon amplitude and its analogous generalizations. Finally, we apply this logic to derive an infinite class of deformed Virasoro-Shapiro amplitudes.
