  Warped conformal field theory (WCFT) is a two dimensional quantum field
theory whose local symmetry algebra consists of a Virasoro algebra and a U(1)
Kac-Moody algebra. In this paper, we study correlation functions for primary
operators in WCFT. Similar to conformal symmetry, warped conformal symmetry is
very constraining. The form of the two and three point functions are determined
by the global warped conformal symmetry while the four point functions can be
determined up to an arbitrary function of the cross ratio. The warped conformal
bootstrap equation are constructed by formulating the notion of crossing
symmetry. In the large central charge limit, four point functions can be
decomposed into global warped conformal blocks, which can be solved exactly.
Furthermore, we revisit the scattering problem in warped AdS spacetime (WAdS),
and give a prescription on how to match the bulk result to a WCFT retarded
Green's function. Our result is consistent with the conjectured holographic
dualities between WCFT and WAdS.
