Black holes in higher spin supergravity

Understand

We study black hole solutions in Chern-Simons higher spin supergravity based on the superalgebra sl(3|2).

• These black hole solutions have a U(1) gauge field and a spin 2 hair in addition to the spin 3 hair.
• These additional fields correspond to the R-symmetry charges of the supergroup sl(3|2).
• Using the relation between the bulk field equations and the Ward identities of a CFT with N=2 super-W_3 symmetry, we identify the bulk charges and chemical potentials with those of the boundary CFT.