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 $\alpha'$ 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.
Highlights
Duality has set new standards for multiloop calculations in various supergravities, see for instance [7,8,9,10]
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 realizations of the kinematic constituents which obey the BCJ duality are challenging to find in general, and a variety of examples at tree level and loop level has been generated via string-theory techniques [11,12,13,14,15,16,17]
Summary
We review selected aspects of tree-level amplitudes in the type-I superstring and the heterotic string. The right-moving parts ViSUSY(z) coincide with the vertex operators of the gauge multiplet in the type-I superstring after stripping off their color degrees of freedom, see section 2.1 for their correlation functions. The color-dependence in the heterotic vertex operator (2.1) of the gauge multiplet enters through the left-moving Kac-Moody currents J a(z). The latter are replaced by polarization-dependent operators μ ∂Xμ(z) in the gravity counterpart (2.2) subject to transversality ( · k) = 0. The exact normalizations for the heterotic string can be obtained by the replacement α
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
