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arXiv · 2306.15730

Bootstrability in Line-Defect CFT with Improved Truncation Methods

V. Niarchos·C. Papageorgakis·P. Richmond·A. G. Stapleton·M. Woolley
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Abstract

We study the conformal bootstrap of 1D CFTs on the straight Maldacena-Wilson line in 4D ${\cal N}=4$ super-Yang-Mills theory. We introduce an improved truncation scheme with an 'OPE tail' approximation and use it to reproduce the 'bootstrability' results of Cavagli\`a et al. for the OPE-coefficients squared of the first three unprotected operators. For example, for the first OPE-coefficient squared at 't Hooft coupling $(4\pi)^2$, linear-functional methods with two sum rules from integrated correlators give the rigorous result $0.294014873 \pm 4.88 \cdot 10^{-8}$, whereas our methods give with machine-precision computations $0.294014228 \pm 6.77 \cdot 10^{-7}$. For our numerical searches, we benchmark the Reinforcement Learning Soft Actor-Critic algorithm against an Interior Point Method algorithm (IPOPT) and comment on the merits of each algorithm.

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V. Niarchos, C. Papageorgakis, P. Richmond, A. G. Stapleton, M. Woolley. 2023-06-27. Bootstrability in Line-Defect CFT with Improved Truncation Methods. https://arxiv.org/abs/2306.15730

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