Probing higher spin black holes from CFT

Understand

In a class of 2D CFTs with higher spin symmetry, we compute thermal two-point functions of certain scalar primary operators in the presence of nonzero chemical potential for higher spin charge.

• These are shown to agree with the same quantity calculated holographically using scalar fields propagating in a charged black hole background of 3D higher spin gravity.
• This match serves as further evidence for the duality between W_N minimal models at large central charge and 3D higher spin gravity.
• It also supports a recent prescription for computing boundary correlators of multi-trace scalar primary operators in higher spin theories.