Skydiving to Bootstrap Islands - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

Skydiving to Bootstrap Islands

Aike Liu
  • Fonction : Auteur
David Simmons-Duffin
  • Fonction : Auteur
Ning Su
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-04179228 , version 1 (09-08-2023)

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Citer

Aike Liu, David Simmons-Duffin, Ning Su, Balt C van Rees. Skydiving to Bootstrap Islands. 2023. ⟨hal-04179228⟩
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