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 …

A bstract We argue that every CFT contains light-ray operators labeled by a continuous spin
J. When J is a positive integer, light-ray operators become integrals of local operators over a …

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 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 review some aspects of harmonic analysis for the Euclidean conformal group,
including conformally-invariant pairings, the Plancherel measure, and the shadow transform …

A bstract We review unitarity and crossing constraints on scattering amplitudes for particles
with spin in four dimensional quantum field theories. As an application we study two to two …

The idea of the conformal bootstrap is to constrain and solve CFTs using physical
consistency conditions like symmetry, unitarity, and causality. By relying on nonperturbative …

A bstract Conformal blocks are the building blocks for correlation functions in conformal field
theories. The four-point function is the most well-studied case. We consider conformal blocks …

A bstract We study the conformal bootstrap for 4-point functions of stress tensors in parity-
preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of …

A bstract We study four-point functions of spinning operators in the flavor current multiplet in
four dimensional\(\mathcal {N}\)= 2 SCFTs, using superspace techniques. In particular we …