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 …

A bstract Conformal theory correlators are characterized by the spectrum and three-point
functions of local operators. We present a formula which extracts this data as an analytic …

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 develop a new method for decomposing Witten diagrams into conformal
blocks. The steps involved are elementary, requiring no explicit integration, and operate …

A bstract Causality places nontrivial constraints on QFT in Lorentzian signature, for example
fixing the signs of certain terms in the low energy Lagrangian. In d dimensional conformal …

We consider conformal field theories around points of large twist degeneracy. Examples of
this are theories with weakly broken higher spin symmetry and perturbations around …

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 describe in more detail our approach to the conformal bootstrap which uses the
Mellin representation of CFT d four point functions and expands them in terms of crossing …

We propose a new approach towards analytically solving for the dynamical content of
conformal field theories (CFTs) using the bootstrap philosophy. This combines the original …