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 …

The four-dimensional (4D) Lorentz group SL (2, C) acts as the two-dimensional (2D) global
conformal group on the celestial sphere at infinity where asymptotic 4D scattering states are …

We study solutions of the Klein-Gordon, Maxwell, and linearized Einstein equations in R 1,
d+ 1 that transform as d-dimensional conformal primaries under the Lorentz group SO (1, d+ …

EPFL lectures on conformal field theory in D≥ 3 dimensions 123 SPRINGER BRIEFS IN
PHYSICS Slava Rychkov EPFL Lectures on Conformal Field Theory in D≥ 3 Dimensions Page …

A bstract We develop the embedding formalism for conformal field theories, aimed at doing
computations with symmetric traceless operators of arbitrary spin. We use an indexfree …

A bstract Carrollian conformal field theories (carrollian CFTs) are natural field theories on
null infinity of an asymptotically flat spacetime or, more generally, geometries with conformal …

A bstract We reformulate the scattering amplitudes of 4D flat space gauge theory and gravity
in the language of a 2D CFT on the celestial sphere. The resulting CFT structure exhibits an …

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 provide dramatic evidence that 'Mellin space'is the natural home for correlation
functions in CFTs with weakly coupled bulk duals. In Mellin space, CFT correlators have …

A bstract For conformal field theories in arbitrary dimensions, we introduce a method to
derive the conformal blocks corresponding to the exchange of a traceless symmetric tensor …