Skydiving to bootstrap islands
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13130_2025_Article_27533.pdf
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Author(s) • • •
Liu, Aike
Simmons-Duffin, David
Su, Ning
van Rees, Balt C.
Date Issued
November 4, 2025
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Liu, A., Simmons-Duffin, D., Su, N. et al. Skydiving to bootstrap islands. J. High Energ. Phys. 2025, 3 (2025).
Version
Final published version
Abstract
We study families of semidefinite programs (SDPs) that depend nonlinearly on a small number of “external” parameters. Such families appear universally in numerical bootstrap computations. The traditional method for finding an optimal point in parameter space works by first solving an SDP with fixed external parameters, then moving to a new point in parameter space and repeating the process. Instead, we unify solving the SDP and moving in parameter space in a single algorithm that we call “skydiving”. We test skydiving on some representative problems in the conformal bootstrap, finding significant speedups compared to traditional methods.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP11(2025)003