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 propose a strategy to study massive Quantum Field Theory (QFT) using
conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study …

Do gravitational interactions respect the basic principles of relativity and quantum
mechanics? We show that any graviton S-matrix that satisfies these assumptions cannot …

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 introduce the AdS/CFT correspondence as a natural extension of QFT in a fixed AdS
background. We start by reviewing some general concepts of CFT, including the embedding …

A bstract We generalize the color/kinematics duality of flat-space scattering amplitudes to the
embedding space formulation of AdS boundary correlators. Kinematic numerators and …

A bstract We introduce simple group-theoretic techniques for classifying conformallyinvariant
tensor structures. With them, we classify tensor structures of general n-point functions of non …

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 kinematics of correlation functions of local and extended operators in
a conformal field theory. We present a new method for constructing the tensor structures …

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 …