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 …

Fundamental principles of local quantum field theory or of quantum gravity can enforce
consistency requirements on the space of consistent low-energy effective field theories. We …

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 four-point functions of scalars, conserved currents, and stress tensors in a
conformal field theory, generated by a local contact term in the bulk dual description, in two …

A bstract We discuss the renormalisation of mixed 3-point functions involving tensorial and
scalar operators in conformal field theories of general dimension. In previous work we …

A bstract We show that general parity-violating 3d conformal field theories show a double
copy structure for momentum space 3-point functions of conserved currents, stress tensor …

A bstract We present a complete momentum-space prescription for the renormalisation of
tensorial correlators in conformal field theories. Our discussion covers all 3-point functions of …

A bstract We derive constraints on the operator product expansion of two stress tensors in
conformal field theories (CFTs), both generic and holographic. We point out that in large N …

A bstract We consider 5-point functions in conformal field theories in d> 2 dimensions. Using
weight-shifting operators, we derive recursion relations which allow for the computation of …