  We propose a bootstrap program for CFTs near intersecting boundaries which
form a co-dimension 2 edge. We describe the kinematical setup and show that
bulk 1-pt functions and bulk-edge 2-pt functions depend on a non-trivial
cross-ratio and on the angle between the boundaries. Using the boundary OPE
(BOE) with respect to each boundary, we derive two independent conformal block
expansions for these correlators. The matching of the two BOE expansions leads
to a crossing equation. We analytically solve this equation in several simple
cases, notably for a free bulk field, where we recover Feynman-diagrammatic
results by Cardy.
