There has been an enormous resurrection of the analytic bootstrap. Grep, for example, https://www.icts.res.in/program/NUMSTRINGS2018/talks for bootstrap. The difference is the realization that the bootstrap equations can be solved numerically and can be thought of as a way to test whether certain conformal theories exist at all, rather than as a way to take you from hardly-any-input-at-all to a complete description of the theory.