The Leading Order Dressing Phase in ABJM Theory

TL;DR

This paper computes the leading order dressing phase in ABJM theory up to eight loops, confirming a conjectured relation with N=4 SYM using Bethe Ansatz and Feynman diagram techniques.

Contribution

It provides the first direct Feynman diagram calculation of the leading order dressing phase coefficient in ABJM theory, confirming a conjectured relation with N=4 SYM.

Findings

Leading order dressing phase coefficient computed from Feynman diagrams.

Agreement with Gromov and Vieira's conjectured relation.

Extended analysis up to eight loops in the SU(2) x SU(2) sector.

Abstract

We study the planar asymptotic dilatation operator of ABJM theory in the SU(2) x SU(2) sector up to eight loops. Combining Bethe Ansatz techniques and N = 2 superspace methods, we are able to fix all the coefficients appearing in the maximal-reshuffling terms. In particular, we can directly compute from Feynman diagrams the leading order coefficient of the dressing phase and find an agreement with the relation conjectured by Gromov and Vieira between the ABJM and N = 4 SYM phase factor.