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 …

Abstract The critical O (N) CFT in spacetime dimensions 2< d< 4 is one of the most important
examples of a conformal field theory, with the Ising CFT at N= 1, 2⩽ d< 4, as a notable …

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

We present enhancements to SDPB, an open source, parallelized, arbitrary precision
semidefinite program solver designed for the conformal bootstrap. The main enhancement is …

The weak gravity conjecture is typically stated as a bound on the mass-to-charge ratio of a
particle in the theory. Alternatively, it has been proposed that its natural formulation is in …

These lectures were given at the Weizmann Institute in the spring of 2019. They are
intended to familiarize students with the nuts and bolts of the numerical bootstrap as …

Recently, Ai, Bender and Sarkar gave a prescription on how to obtain 𝒫 𝒯-symmetric field
theory results from an analytic continuation of Hermitian field theories. We perform this …

We revisit the scalar O (N) model in the dimension range 4< d< 6 and study the effects
caused by its metastability. As shown in previous work, this model formally possesses a …