Partition functions of higher spin black holes and their CFT duals

Understand

We find black hole solutions of D=3 higher-spin gravity in the hs[\lambda] + hs[\lambda] Chern-Simons formulation.

• These solutions have a spin-3 chemical potential, and carry nonzero values for an infinite number of charges of the asymptotic W_{\infty}[\lambda] symmetry.
• Applying a previously developed set of rules for ensuring smooth solutions, we compute the black hole partition function perturbatively in the chemical potential.
• At \lambda =0, 1 we compare our result against boundary CFT computations involving free bosons and fermions, and find perfect agreement.