Gluon Scattering in Deformed N=4 SYM

TL;DR

This paper demonstrates that gluon and gluino scattering amplitudes in beta-deformed N=4 SYM are identical to those in the undeformed theory at all orders, both perturbatively and at strong coupling, extending to non-supersymmetric deformations.

Contribution

It shows the invariance of scattering amplitudes under certain deformations of N=4 SYM at all coupling levels, including non-supersymmetric cases.

Findings

Scattering amplitudes are unchanged in beta-deformed N=4 SYM.

Equality of amplitudes holds at all orders in perturbation theory.

The invariance extends to non-supersymmetric three-parameter deformations.

Abstract

We consider gluon and gluino scattering amplitudes in large N beta-deformed N=4 SYM with real beta. A direct inspection of the planar diagrams shows that the scattering amplitudes to all orders in perturbation theory are the same as in the undeformed N=4 SYM theory. Using the dual sigma-model description, we find the same equality at strong coupling to all orders in the sigma-model loop expansion. Finally, we show that the same analysis holds for gluon scattering amplitudes in a three-parameter deformation of planar N=4 SYM that breaks all the supersymmetry.