Amplitudes in the beta-deformed Conformal Yang-Mills

TL;DR

This paper investigates how planar amplitudes in a broad class of marginally deformed N=4 supersymmetric Yang-Mills theories relate to the original theory, revealing that some deformations preserve amplitude structures up to high loop orders.

Contribution

It demonstrates that certain marginal deformations of N=4 SYM preserve planar amplitude structures, extending the iterative properties known in the original theory to a wider class of models.

Findings

Planar amplitudes in some deformed theories match N=4 SYM amplitudes to all orders.

Equivalence of amplitudes holds up to four loops for more general deformations.

The iterative structure of MHV amplitudes persists in a broader class of theories.

Abstract

We study perturbative amplitudes in a large class of theories obtained by marginal deformations of the N=4 supersymmetric Yang-Mills. We find that planar amplitudes in the deformed theories are closely related to planar amplitudes in the original N=4 SYM. For some classes of deformations the amplitudes essentially coincide with the N=4 amplitudes to all orders in planar perturbation theory. For more general classes of marginal deformations, the equivalence holds at up to four loops, and at five loops it is likely to break down. This implies that the iterative structure of planar MHV amplitudes recently discovered by Bern, Dixon and Smirnov in hep-th/0505205 for the N=4 theory also manifests itself in a wider class of theories.