Integrability and unitarity

Abstract

We show how generalised unitarity can be used to determine the one-loop dilatation operator in N=4 super Yang-Mills. Our analysis focuses on two sectors, namely the bosonic SO(6) sector and the SU(2|3) sector. The calculation is performed on shell, with no off-shell information introduced at any stage. In this way, we establish a direct connection between scattering amplitudes and the dilatation operator of the N=4 theory.

13 pages. v2: references and comparison of different on-shell approaches added. v3: typos corrected, comments added

References in corpus (4)

• Amplitudes, Form Factors and the Dilatation Operator in $\mathcal{N}=4$ SYM Theory
• Correlation functions of local composite operators from generalized unitarity
• A Twistorial Approach to Integrability in N=4 SYM
• Integrability and MHV diagrams in N=4 supersymmetric Yang-Mills theory

Cited by in corpus (1)

• On the Amplitude/Wilson Loop duality in $\mathcal{N}=2$ SCQCD