Planar quark scattering at strong coupling and universality

TL;DR

This paper extends the AdS/CFT approach to compute planar quark scattering amplitudes at strong coupling, revealing a potential universal behavior across different matter representations and conformal conditions.

Contribution

It generalizes the Alday-Maldacena method from adjoint to fundamental matter, demonstrating universality in strong coupling quark scattering amplitudes.

Findings

Quark scattering amplitudes relate to minimal area problems.

Results consistent across different D3-D7 systems.

Indications of universal behavior at strong coupling and planar limit.

Abstract

We discuss scattering of fundamental matter in the planar and strong coupling limit via the AdS/CFT correspondence, generalizing the recently proposed calculation for adjoint matter due to Alday and Maldacena [arXiv:0705.0303]. Color decomposition of quark amplitudes is a key property allowing to repeat the procedure in the case of fundamental matter and to derive the relation of these strong coupling amplitudes to minimal area problems. We present the results for two different D3-D7 systems, one is only conformal in the planar limit and the other is exactly conformal. Our results suggest a universal behavior of scattering amplitudes at strong coupling and planar limit (both for gluons and quarks).