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Area of Science:

  • Theoretical Physics
  • High Energy Physics
  • String Theory

Background:

  • String theory's unique determination by self-consistency is questioned.
  • Causality and unitarity allow multiple string theory deformations at the two-to-two scattering level.

Purpose of the Study:

  • To systematically explore constraints on scattering from higher-point factorization.
  • To test proposed deformations of string theory using these constraints.

Main Methods:

  • Applying higher-point factorization to scattering amplitudes.
  • Deriving sum rules for residues and spectra.
  • Analyzing specific string theory deformations, including "bespoke" amplitudes and modified string integrands from "binary geometry."

Main Results:

  • Higher-point factorization imposes restrictive sum rules.
  • Several proposed string theory deformations are excluded by these sum rules.
  • The study successfully extracts three-point amplitudes for low-lying string modes.

Conclusions:

  • Self-consistency, through higher-point factorization, provides strong constraints on string theory.
  • The formalism developed offers a new way to probe string amplitudes without worldsheet vertex operators.