Einstein-Yang-Mills from pure Yang-Mills amplitudes
Abstract
We present new relations for scattering amplitudes of color ordered gluons and gravitons in Einstein-Yang-Mills theory. Tree-level amplitudes of arbitrary multiplicities and polarizations involving up to three gravitons and up to two color traces are reduced to partial amplitudes of pure Yang-Mills theory. In fact, the double-trace identities apply to Einstein-Yang-Mills extended by a dilaton and a B-field. Our results generalize recent work of Stieberger and Taylor for the single graviton case with a single color trace. As the derivation is made in the dimension-agnostic Cachazo-He-Yuan formalism, our results are valid for external bosons in any number of spacetime dimensions. Moreover, they generalize to the superamplitudes in theories with 16 supercharges.
Keywords
Cite
@article{arxiv.1607.05701,
title = {Einstein-Yang-Mills from pure Yang-Mills amplitudes},
author = {Dhritiman Nandan and Jan Plefka and Oliver Schlotterer and Congkao Wen},
journal= {arXiv preprint arXiv:1607.05701},
year = {2017}
}
Comments
28 pages, v2: references and appendix added, published version