Accurate bootstrap bounds from optimal interpolation (opens in new tab)

arXiv:2509.14307v2 Announce Type: replace-cross Abstract: We develop new methods for approximating conformal blocks as positive functions times polynomials, with applications to the numerical bootstrap. We argue that to obtain accurate bootstrap bounds, conformal block approximations should minimize a certain error norm related to the asymptotics of dispersive functionals. This error norm can be made small using interpolation nodes with an appropriate optimal density. The optimal density turn...