Wilson Loop diagrams and Positroids

Understand

In this paper, we study a new application of the positive Grassmanian to Wilson loop diagrams (or MHV diagrams) for scattering amplitudes in N=4 Super Yang-Mill theory ($N=4$ SYM).

• There has been much interest in studying this theory via the positive Grassmanians using BCFW recursion.
• This is the first attempt to study MHV diagrams for planar Wilson loop calculations (or planar amplitudes) in terms of positive Grassmannians.
• We codify Wilson loop diagrams completely in terms of matroids.