Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
Abstract
We study the integrability properties of Wilson loops in the three-dimensional Chern-Simons-matter (ABJM) theory. We begin with the construction of an open spin chain that describes the anomalous dimensions of operators inserted along the contour of a 1/2 BPS Wilson loop. Moreover, we compute the all-loop reflection matrices that govern the interaction of spin-chain excitations with the boundary, including their dressing factors, and we check them against weak- and strong-coupling results. Furthermore, we propose a -system of equations for the cusped Wilson line of ABJM, and we use it to reproduce the one-loop cusp anomalous dimension of ABJM from a leading-order finite-size correction. Finally, we write a set of BTBA equations consistent with the -system proposal.
Keywords
Cite
@article{arxiv.2304.01924,
title = {Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension},
author = {Diego H. Correa and Victor I. Giraldo-Rivera and Martín Lagares},
journal= {arXiv preprint arXiv:2304.01924},
year = {2025}
}
Comments
42 pages, 1 figure; v3: simplified derivation of Y functions, appendix removed