String Amplitudes from Field-Theory Amplitudes and Vice Versa

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-...

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Bibliographic Details
Published inPhysical review letters Vol. 122; no. 21; p. 211603
Main Authors He, Song, Teng, Fei, Zhang, Yong
Format Journal Article
LanguageEnglish
Published United States 31.05.2019
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ISSN0031-9007
1092-0145
1079-7114
1079-7114
DOI10.1103/PhysRevLett.122.211603

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Summary: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 or 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 or heterotic strings, we get a closed-form CHY integrand for the (DF)^{2}+Yang-Mills+ϕ^{3} theory.
ISSN:0031-9007
1092-0145
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.122.211603