Shouvik Datta, Justin R. David
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 that of the boundary CFT. These identifications suggest that the black hole solutions with R-symmetry charges are spectrally flowed solutions of the higher spin black hole with only spin 3 hair. The entropy of the R-charged black hole is then written in terms of the both the charges of the bulk theory and that of the boundary.
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http://arxiv.org/abs/1303.1946
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