Abstract
The single-correlator conformal bootstrap is solved numerically for several values of dimension 4 > d > 2 using the available 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.
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Cappelli, A., Maffi, L. & Okuda, S. Critical Ising model in varying dimension by conformal bootstrap. J. High Energ. Phys. 2019, 161 (2019). https://doi.org/10.1007/JHEP01(2019)161
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DOI: https://doi.org/10.1007/JHEP01(2019)161