Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

This review aims to offer a pedagogical introduction to the analytic conformal bootstrap
program via a journey through selected topics. We review analytic methods which include …

These notes are from courses given at TASI and the Advanced Strings School in summer
2015. Starting from principles of quantum field theory and the assumption of a traceless …

A bstract We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite
program solver, designed for the conformal bootstrap. SDPB significantly outperforms less …

A bstract We compute 1/λ corrections to the four-point functions of half-BPS operators in SU
(N)\(\mathcal {N}\)= 4 super-Yang-Mills theory at large N and large't Hooft coupling λ=\({g} …

A bstract We study the conformal bootstrap for a 4-point function of fermions< ψψψψ> in 3D.
We first introduce an embedding formalism for 3D spinors and compute the conformal blocks …

A bstract We use modern bootstrap techniques to study half-BPS line defects in 4d\(\mathcal
{N}= 4\) superconformal theories. Specifically, we consider the 1d CFT with OSP (4∗| 4) …

A bstract We show that in 2d CFTs at large central charge, the coupling of the stress tensor
to heavy operators can be re-absorbed by placing the CFT in a non-trivial background …

A bstract We study 3d CFTs with an O (N) global symmetry using the conformal bootstrap for
a system of mixed correlators. Specifically, we consider all nonvanishing scalar four-point …

A bstract We compute a set of correlation functions of operator insertions on the 1/8 BPS
Wilson loop in\(\mathcal {N}= 4\) SYM by employing supersymmetric localization, OPE and …