Amplitude relations in heterotic string theory and Einstein-Yang-Mills

Abstract

We present all-multiplicity evidence that the tree-level S-matrix of gluons and gravitons in heterotic string theory can be reduced to color-ordered single-trace amplitudes of the gauge multiplet. Explicit amplitude relations are derived for up to three gravitons, up to two color traces and an arbitrary number of gluons in each case. The results are valid to all orders in the inverse string tension ${\alpha }^{\prime }$ and generalize to the ten-dimensional superamplitudes which preserve 16 supercharges. Their field-theory limit results in an alternative proof of the recently discovered relations between Einstein-Yang-Mills amplitudes and those of pure Yang-Mills theory. Similarities and differences between the integrands of the Cachazo-He-Yuan formulae and the heterotic string are investigated.

29 pages; v2: cosmetic changes, references updated, published version

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Cited by in corpus (8)

• Combinatorics and Topology of Kawai-Lewellen-Tye Relations
• Expansion of All Multitrace Tree Level EYM Amplitudes
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• All-order differential equations for one-loop closed-string integrals and modular graph forms
• One-loop Correlators and BCJ Numerators from Forward Limits
• Generating series of all modular graph forms from iterated Eisenstein integrals
• Collinear limits beyond the leading order from the scattering equations
• Chiral Splitting and $\mathcal{N}=4$ Einstein--Yang--Mills Tree Amplitudes in 4d