Gauge invariance, locality, and cyclicity uniquely fix dimension-raising operators for zero-transcendentality bosonic string amplitudes, yielding recursive construction from Yang-Mills and factorization via inverse operators at finite alpha'.
Universality in string interactions
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abstract
In this letter, we provide evidence for universality in the low-energy expansion of tree-level string interactions. More precisely, in the alpha'-expansion of tree-level scattering amplitudes, we conjecture that the leading transcendental coefficient at each order in alpha' is universal for all perturbative string theories. We have checked this universality up to seven points and trace its origin to the ability to restructure the disk integrals of open bosonic string into those of the superstring. The accompanying kinematic functions have the same low-energy limit and do not introduce any transcendental numbers in their alpha'-corrections. Universality in the closed-string sector then follows from the KLT-relations.
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Uniqueness and Analytic Structures of Bosonic String Effective Amplitudes
Gauge invariance, locality, and cyclicity uniquely fix dimension-raising operators for zero-transcendentality bosonic string amplitudes, yielding recursive construction from Yang-Mills and factorization via inverse operators at finite alpha'.