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 …

This review is an elaboration of recent results on the holographic re-construction of metric-
like interactions in higher-spin gauge theories on anti-de Sitter space (AdS), employing their …

A bstract We compute M-point conformal blocks with scalar external and exchange
operators in the so-called comb configuration for any M in any dimension d. Our computation …

A bstract We compute d-dimensional scalar six-point conformal blocks in the two possible
topologies allowed by the operator product expansion. Our computation is a simple …

Seven-point functions have two inequivalent topologies or channels. The comb channel has
been computed previously, and here we compute scalar conformal blocks in the extended …

A bstract We give a systematic procedure to evaluate conformal partial waves involving
symmetric tensors for an arbitrary CFT d using geodesic Witten diagrams in AdS d+ 1. Using …

A bstract We give a holographic description of global conformal blocks in two dimensional
conformal field theory on the sphere and on the torus. We show that the conformal blocks for …

Geodesic bulk diagrams were recently shown to be the geometric objects which compute
global conformal blocks. We show that this duality continues to hold in p-adic AdS/CFT …

We construct the Mellin representation of four point conformal correlation function with
external primary operators with arbitrary integer spacetime spins, and obtain a natural …

We compute conformal correlation functions with spinor, tensor, and spinor-tensor primary
fields in general dimensions with Euclidean and Lorentzian metrics. The spinors are taken to …