We study the holographic correlators corresponding to scattering of fluctuations of an open string worldsheet with AdS_{2}geometry. In the outoftimeorder configuration, the correlators display a Lyapunov growth that saturates the chaos bound. We show that in a doublescaling limit interpolating between the Lyapunov regime and the late time exponential decay, the outoftimeorder correlator (OTOC) can be obtained exactly, and it has the same functional form found in the analogous calculation in JT gravity. The result can be understood as coming from high energy scattering near the horizon of a AdS_{2}black hole, and is essentially controlled by the flat space worldsheet Smatrix. While previous works on the AdS_{2}string employed mainly a static gauge approach, here we focus on conformal gauge and clarify the role of boundary reparametrizations in the calculation of the correlators. We find that the reparametrization mode is governed by a nonlocal action which is distinct from the Schwarzian action arising in JT gravity, and in particular leads to SL(2,
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A<sc>bstract</sc> ℝ ) invariant boundary correlators. The OTOC in the doublescaling limit, however, has the same functional form as that obtained from the Schwarzian, and it can be computed using the reparametrization action and resumming a subset of diagrams that are expected to dominate in the limit. One application of our results is to the defect CFT defined by the halfBPS Wilson loop in = 4 SYM. In this context, we show that the exact result for the OTOC in the doublescaling limit is in precise agreement with a recent analytic bootstrap prediction to threeloop order at strong coupling.$$ \mathcal{N} $$ $N$ 
A bstract We study the large charge sector of the defect CFT defined by the halfBPS Wilson loop in planar N = 4 supersymmetric YangMills theory. Specifically, we consider correlation functions of two large charge insertions and several light insertions in the doublescaling limit where the ’t Hooft coupling λ and the large charge J are sent to infinity, with the ratio J/ $$ \sqrt{\lambda } $$ λ held fixed. They are holographically dual to the expectation values of light vertex operators on a classical string solution with large angular momentum, which we evaluate in the leading large J limit. We also compute the twopoint function of large charge insertions by evaluating the onshell string action, supplemented by the boundary terms that generalize the one introduced by Drukker, Gross and Ooguri for the Wilson loop without insertions. For a special class of correlation functions, we reproduce the string results from field theory by using supersymmetric localization. The results are given by correlation functions in an “emergent” matrix model whose matrix size is proportional to J and whose spectral curve coincides with that of the classical string. Similar matrix models appeared in the study of extremal correlators in rank1 $$ \mathcal{N} $$ N = 2 superconformal field theories, but our results hold also for nonextremal cases.more » « less