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Bootstrability in Line-Defect CFT with Improved Truncation Methods

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arxiv 2306.15730 v2 pith:JYV6CUYG submitted 2023-06-27 hep-th

classification hep-th
keywords algorithmmethodsbootstrabilitycdotfirstgiveimprovedsquared
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Neural Spectral Bias and Conformal Correlators I: Introduction and Applications

    hep-th 2026-04 unverdicted novelty 8.0 of 10

    Simple feed-forward neural networks trained on crossing symmetry plus a single anchor value reproduce CFT correlators to percent-level accuracy, and the authors conjecture this works because physical correlators are t...

  2. Accurate boundary bootstrap for the three-dimensional O($N$) normal universality class

    hep-th 2025-08 conditional novelty 6.0 of 10

    High-truncation eta-minimization bootstrap yields accurate boundary critical amplitudes for the 3d O(N) normal universality class, resolving prior Monte Carlo discrepancies and giving new Ising boundary data.

  3. Probing Line Defect CFT with Mixed-Correlator Bootstrability

    hep-th 2024-12 conditional novelty 6.0 of 10

    Using mixed-correlator bootstrability with parity and localization input, this paper produces new finite-coupling bounds on 12 OPE coefficients and a new exact BPS structure constant for the Maldacena-Wilson line defect CFT.

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