{ "id": "1812.03369", "version": "v1", "published": "2018-12-08T19:04:49.000Z", "updated": "2018-12-08T19:04:49.000Z", "title": "String amplitudes from field-theory amplitudes and vice versa", "authors": [ "Song He", "Fei Teng", "Yong Zhang" ], "comment": "11 pages, 2 figures", "categories": [ "hep-th" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2018-12-08T19:04:49.000Z" } ], "analyses": { "keywords": [ "field-theory amplitude", "string amplitude", "vice versa", "special disk/sphere integral", "open bosonic/heterotic strings" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }