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2018

String amplitudes from field-theory amplitudes and vice versa

He, Song, Teng, Fei, Zhang, Yong

Understand

We present an integration-by-parts reduction of any massless tree-level string correlator to an equivalence class of logarithmic functions, which can be used to define a field-theory amplitude via a Cachazo-He-Yuan (CHY) formula.

The string amplitude is then shown to be the double copy of the field-theory one and a special disk/sphere integral.
The construction is generic as it applies to any correlator that is a rational function of correct SL(2) weight.
By applying the reduction to open bosonic/heterotic strings, we get a closed-form CHY integrand for the $(DF)^2+\text{YM}+\phi^3$ theory.