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Finding that string theory explicitly would show from first principles how gauge fields turn into strings.","posed_since":"","precise":"Planar free $N=4\\ \\operatorname{SU}(N)$ super-Yang-Mills ($g_{\\mathrm{YM}} = 0$, $N \\to \\infty$) should be dual to tensionless type IIB strings on $\\mathrm{AdS}_5 x S^5$. For $\\mathrm{AdS}_3 x S^3 x T^4$ with one unit of NS-NS flux this was established with a worldsheet theory reproducing the symmetric-orbifold CFT (Eberhardt, Gaberdiel, Gopakumar 2018-2019). Construct the $\\mathrm{AdS}_5$ worldsheet theory and show that its genus-zero correlators equal the planar free-field correlators of all single-trace operators.","problem_ref":null,"references":"","settled_by":"A worldsheet theory whose genus-zero correlators are shown to equal planar free $N=4$ correlators for all single-trace operators, for example by localization of the worldsheet path integral onto free-field Wick contractions.","status_note":"Gaberdiel and Gopakumar (2021, arXiv:2104.08263) proposed a worldsheet description whose spectrum matches planar free $N=4$ super-Yang-Mills; correlators have not been derived from it.","title":"Worldsheet string theory dual to free $N=4$ 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