English

New Developments in the Numerical Conformal Bootstrap

High Energy Physics - Theory 2025-10-31 v3 Statistical Mechanics

Abstract

The numerical conformal bootstrap has become in the last 15 years an indispensable tool for studying strongly coupled CFTs in various dimensions. Here we review the main developments in the field in the last 5 years, since the appearance of the previous comprehensive review \cite{Poland:2018epd}. We describe developments in the software ({\tt SDPB 2.0}, {\tt scalar\_blocks}, {\tt blocks\_3d}, {\tt autoboot}, {\tt hyperion}, {\tt simpleboot}), and on the algorithmic side (Delauney triangulation, cutting surface, tiptop, navigator function, skydive). We also describe the main physics applications which were obtained using the new technology.

Keywords

Cite

@article{arxiv.2311.15844,
  title  = {New Developments in the Numerical Conformal Bootstrap},
  author = {Slava Rychkov and Ning Su},
  journal= {arXiv preprint arXiv:2311.15844},
  year   = {2025}
}

Comments

49 pages, 11 figures. Version to appear in Rev.Mod.Phys. Typos fixed

R2 v1 2026-06-28T13:32:42.487Z