New developments in the numerical conformal bootstrap

Abstract

Over the past 15 years, the numerical conformal bootstrap has become an indispensable tool for studying strongly coupled conformal field theories in various dimensions. Reviewed here are the main developments in the field in the five years since the publication of the previous comprehensive review [D. Poland, S. Rychkov, and A. Vichi, Rev. Mod. Phys. 91, 015002 (2019)]. Developments in the software (SDPB 2.0, scalar_blocks, blocks_3d, autoboot, hyperion, and simpleboot) and on the algorithmic side (Delaunay triangulation, cutting surface, tiptop, navigator function, and skydive) are described. Also chronicled are the main physics applications that have been obtained using new technologies.