Orateur
Description
The single-correlator conformal bootstrap is solved numerically for several
values of dimension $4 > d > 2$ using SDPB and Extremal Functional methods.
Critical exponents and other conformal data of low-lying states are obtained over the entire
range of dimensions with up to four-decimal precision and then compared with several
existing results. The conformal dimensions of leading-twist fields are also determined up
to high spin, and their d-dependence shows how the conformal states rearrange themselves
around $d = 2.2$ for matching the Virasoro conformal blocks in the $d = 2$ limit. The
decoupling of states at the Ising point is studied for $3 > d > 2$ and the vanishing of one
structure constant at $d = 3$ is found to persist till $d = 2$ where it corresponds to a Virasoro
null-vector condition.
(See the article arXiv:1811.07751)
