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 develop new tools for isolating CFTs using the numerical bootstrap. A “cutting
surface” algorithm for scanning OPE coefficients makes it possible to find islands in high …

We compute numerically the dimensions and OPE coefficients of several operators in the 3d
Ising CFT, and then try to reverse-engineer the solution to crossing symmetry analytically …

A bstract We calculate the anomalous dimensions of operators with large global charge J in
certain strongly coupled conformal field theories in three dimensions, such as the O (2) …

A bstract We introduce a large class of conformally-covariant differential operators and a
crossing equation that they obey. Together, these tools dramatically simplify calculations …

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 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 …

We develop the conformal bootstrap program for six-dimensional conformal field theories
with (2, 0) supersymmetry, focusing on the universal four-point function of stress tensor …