Stringy Dynamics from an Amplitudes Bootstrap

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.

arXiv comment7 pages, 1 figure

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Cited by in corpus (21)

• Shedding black hole light on the emergent string conjecture
• Bespoke Dual Resonance
• The Stringy S-matrix Bootstrap: Maximal Spin and Superpolynomial Softness
• Multiparticle Factorization and the Rigidity of String Theory
• Bootstrap Principle for the Spectrum and Scattering of Strings
• Open String Amplitudes: Singularities, Asymptotics, and New Representations
• Covariant actions and propagators for all spins, masses, and dimensions
• On the positivity of the hypergeometric Veneziano amplitude
• Multipositivity Bounds for Scattering Amplitudes
• Uniqueness Criteria for the Virasoro-Shapiro Amplitude
• Positivity of the Hypergeometric Coon Amplitude
• Consistent actions for massive particles interacting with electromagnetism and gravity
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Coon unitarity via partial waves or: how I learned to stop worrying and love the harmonic numbers
• Lectures in Quantum Gravity
• On the number of Regge trajectories for dual amplitudes
• Strings from Almost Nothing
• Higher-Spin and Higher-Point Constraints on Stringy Amplitudes
• String Theory from Maximal Supersymmetry
• A glimpse into the Ultrametric spectrum
• Worldsheet for Generalized Veneziano Amplitudes