HET Brown Bag Seminar | Bootstrapping Stress Tensors from 3D Ising and beyond

I will present results from the current state of the art of the numerical conformal bootstrap: bootstrapping the stress tensor, both for the 3D Ising CFT in particular and in the space of all local, unitary 3D CFTs in general. Beyond the headline result for the Ising CFT — the most precise determinations of the leading scaling dimensions and OPE coefficients yet — I will present some preliminary results in analyzing the extremal functional spectrum for the Ising CFT. As for the space of all local, unitary 3D CFTs, I will present bounds which present nontrivial and puzzling features which motivate a proposed program of “CFT Cartography.” Based on arXiv:2411.15300, arXiv:2602.13383, and ongoing work.