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arXiv · 2302.12263

Stringy Dynamics from an Amplitudes Bootstrap

Clifford Cheung·Grant N. Remmen
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Abstract

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 $q$-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.

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Clifford Cheung, Grant N. Remmen. 2023-02-23. Stringy Dynamics from an Amplitudes Bootstrap. https://doi.org/10.1103/physrevd.108.026011

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