Matching four-point functions in higher spin AdS_3/CFT_2

Understand

Working in the context of the proposed duality between 3D higher spin gravity and 2D W_N minimal model CFTs, we compute a class of four-point functions in the bulk and on the boundary, and demonstrate precise agreement between them.

• This is the first computation of a correlator in 3D higher spin gravity whose functional form is not fixed by conformal invariance.
• In the bulk we make use of elegant methods to solve the scalar field equation using only matrix manipulations, while on the CFT side we employ the Coulomb gas representation.
• Comparison is made in the semiclassical limit, in which the central charge is taken to infinity at fixed N.