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 …

The 3D Ising transition, the most celebrated and unsolved critical phenomenon in nature,
has long been conjectured to have emergent conformal symmetry, similar to the case of the …

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 …

A bstract We perform a bootstrap analysis of a mixed system of four-point functions of
bosonic and fermionic operators in parity-preserving 3d CFTs with O (N) global symmetry …

A bstract Equilibrium finite temperature observables of a CFT can be described by a local
effective action for background fields—a “thermal effective action”. This effective action …

A bstract We derive a nonperturbative, convergent operator product expansion (OPE) for null-
integrated operators on the same null plane in a CFT. The objects appearing in the …

A bstract We study propagation of a probe particle through a series of closely situated
gravitational shocks. We argue that in any UV-complete theory of gravity the result does not …

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 five-point correlation functions of scalar operators in d-dimensional
conformal field theories. We develop a new approach to computing the five-point conformal …