Interacting conformal scalar in a wedge

Abstract

Abstract We study a class of two-point functions in a conformal field theory near a wedge. This is a set-up with two boundaries intersecting at an angle θ. We compute it as a solution to the Dyson-Schwinger equation of motion for a quartic interaction in the d = 4 − ϵ bulk and on one of the boundaries in d = 3 − ϵ, up to order (ϵ). We have extracted the anomalous dimensions from such correlators, which we complemented with Feynman diagrams computations.