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- Title
Integrable Wilson loops in ABJM: a Y-system computation of the cusp anomalous dimension.
- Authors
Correa, Diego H.; Giraldo-Rivera, Victor I.; Lagares, Martín
- Abstract
We study the integrability properties of Wilson loops in the 풩 = 6 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 Y -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 Y -system proposal.
- Subjects
EQUATIONS; CUSP forms (Mathematics)
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 6, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP06(2023)179