Holography on the lattice: the string worldsheet perspective

We review the study, on the lattice, of the Green–Schwarz gauge-fixed string action describing worldsheet fluctuations about the minimal surface holographically dual to the null cusp Wilson loop, useful to evaluate the cusp anomaly of N=4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {N}}=4$$\end{document} super Yang–Mills (sYM). We comment on discretization, numerical explorations and challenges for the nonperturbative study of this benchmark model of gauge-fixed worldsheet actions.