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arXiv · 1606.09616

New Relations for Einstein-Yang-Mills Amplitudes

Stephan Stieberger·Tomasz R. Taylor
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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.

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Stephan Stieberger, Tomasz R. Taylor. 2016-06-30. New Relations for Einstein-Yang-Mills Amplitudes. https://doi.org/10.1016/j.nuclphysb.2016.09.014

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