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Bootstrap Principle for the Spectrum and Scattering of Strings
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We show that the Veneziano amplitude of string theory is the unique solution to an analytically solvable bootstrap problem. Uniqueness follows from two assumptions: faster than power-law falloff in high-energy scattering and the existence of some infinite sequence in momentum transfer at which higher-spin exchanges cancel. The string amplitude-including the mass spectrum-is an output of this bootstrap. If the amplitude merely vanishes at high energies, the solution is a three-parameter family containing the Veneziano, Coon, and hypergeometric amplitudes, and more.
Forward citations
Cited by 15 Pith papers
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Higher-Spin Correlators in dS
The five-point de Sitter higher-spin correlator is shown to be a spurious-singularity-free rational function organized by graph-theoretic orbits of the complete graph K5.
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String Theory from Maximal Supersymmetry
The open string Veneziano amplitude emerges as the unique tree-level completion of N=4 super Yang-Mills when supersymmetry, factorization, and positivity are imposed.
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Multipositivity Bounds for Scattering Amplitudes
Scattering residues at any multiplicity form positive semidefinite moment matrices, yielding an infinite web of multipositivity bounds that the open string exactly saturates.
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Partial Waves for Multipositivity
The paper constructs kinematic charts and partial-wave expansions for four-, five-, and six-point massless planar amplitudes tailored to multipositivity bounds.
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Analytic Boundaries of Infinite-Spin-Tower Amplitudes from Hidden Zero
The exact analytic boundary of unitary infinite-spin-tower amplitudes is derived and shown to be maximal unless energy poles accumulate.
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Unitary Dual-Resonance S-matrices
Smearing Veneziano blocks over continuous Regge slopes yields local, analytic, crossing-symmetric S-matrices with full partial-wave unitarity and controllable second-sheet resonances.
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Gravitational Effective Theories with Maximal Supersymmetry and a Peculiar Parity
Peculiar parity plus N=8 SUSY, tree-level factorization, and finitely many states at the mass gap uniquely select the Virasoro–Shapiro amplitude among weakly-coupled UV completions of N=8 supergravity.
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Strings from Almost Nothing
Ultrasoft, minimally structured scattering amplitudes are forced onto the Veneziano and Virasoro-Shapiro amplitudes of string theory.
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Open String Amplitudes: Singularities, Asymptotics, and New Representations
New analytic tools, including an all-kinematics five-point closed form, for tree-level open string amplitudes come from the u-variable formulation.
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Bootstrapping Extremal Scalar Amplitudes With and Without Supersymmetry
The full space of allowed four-point scalar amplitudes is conjectured to be the convex hull of a single scalar amplitude and a one-parameter family of extremal theories, generatable from maximally supersymmetric amplitudes.
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The explicit Lorentz invariant QED pair production rates from superstrings
From the open-string pair production rate of two D-branes, the author extracts Lorentz-invariant Schwinger rates for scalar, spinor, and vector pairs in two through seven dimensions.
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Higher-Spin and Higher-Point Constraints on Stringy Amplitudes
Factorization at the second excited mass level forces the Regge intercept to the bosonic string value, and large-level multipositivity bounds forbid the simplest Gross satellite deformation of four-point superstring a...
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A glimpse into the Ultrametric spectrum
Quantum oscillators with energies from the Vladimirov derivative on the p-adic unit circle — exponentially spaced and exponentially degenerate — give string-like square-root-of-energy entropy, modulated by log-periodi...
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Worldsheet for Generalized Veneziano Amplitudes
A chiral composite linear dilaton worldsheet action reproduces Mandelstam's generalized Veneziano amplitudes and yields new partially crossing-symmetric higher-point and closed-string amplitudes.
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Analytic bootstrap bounds on masses and spins in gravitational and non-gravitational scalar theories
The authors derive 'Sequential Spin and Mass Constraints' for su-symmetric and stu-symmetric four-point amplitudes, claiming any weakly-coupled spectrum must have ordered spins and bounded mass ratios.
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