New Relations for Einstein-Yang-Mills Amplitudes

Abstract

We obtain new relations between Einstein-Yang-Mills (EYM) amplitudes involving N gauge bosons plus a single graviton and pure Yang-Mills amplitudes involving N gauge bosons plus one additional vector boson inserted in a way typical for a gauge boson of a "spectator" group commuting with the group associated to original N gauge bosons. We show that such EYM amplitudes satisfy U(1) decoupling relations similar to Kleiss-Kuijf relations for Yang-Mills amplitudes. We consider a D-brane embedding of EYM amplitudes in the framework of disk amplitudes involving open and closed strings. A new set of monodromy relations is derived for mixed open-closed amplitudes with one closed string inserted on the disk world-sheet and a number of open strings at the boundary. These relations allow expressing the latter in terms of pure open string amplitudes and, in the field-theory limit, they yield the U(1) decoupling relations for EYM amplitudes.

15 pages, harvmac, 3 figures

References in corpus (5)

• New Relations for Gauge-Theory Amplitudes
• Minimal Basis for Gauge Theory Amplitudes
• Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
• Graviton as a Pair of Collinear Gauge Bosons
• Graviton Amplitudes from Collinear Limits of Gauge Amplitudes

Cited by in corpus (8)

• Einstein-Yang-Mills from pure Yang-Mills amplitudes
• Amplitude relations in heterotic string theory and Einstein-Yang-Mills
• Expansion of All Multitrace Tree Level EYM Amplitudes
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• Collinear limits beyond the leading order from the scattering equations
• One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations
• Direct Evaluation of $n$-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY Formalism
• Chiral Splitting and $\mathcal{N}=4$ Einstein--Yang--Mills Tree Amplitudes in 4d