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C. Candu and M. R. Gaberdiel, Supersymmetric holography on A d S 3 AdS_{3}
Original
1939
Earlier work this paper cites.
S. Datta and J. R. David, Black holes in higher spin supergravity
Original
1946
Earlier work this paper cites.
A. Achucarro and P. Townsend, A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories
1986
Earlier work this paper cites.
E. Witten, (2+1)-Dimensional Gravity as an Exactly Soluble System
1988
Earlier work this paper cites.
C. Pope, L. Romans, and X. Shen, W ∞ W_{\infty} and the Racah-Wigner Algebra
1990
Earlier work this paper cites.
M. Banados, C. Teitelboim, and J. Zanelli, The Black hole in three-dimensional space-time
1992
Earlier work this paper cites.
M. Banados, M. Henneaux, C. Teitelboim, and J. Zanelli, Geometry of the (2+1) black hole
1993
Earlier work this paper cites.
O. Coussaert, M. Henneaux, and P. van Driel, The Asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
1995
Earlier work this paper cites.
M. A. Vasiliev, Higher spin gauge theories in four-dimensions, three-dimensions, and two-dimensions
1996
Earlier work this paper cites.
S. Prokushkin and M. A. Vasiliev, Higher spin gauge interactions for massive matter fields in 3-D AdS space-time
1999
Earlier work this paper cites.

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2013

Beccaria, Matteo, Macorini, Guido

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

A suitable generalisation of the BTZ black hole has a spin-3 chemical potential $\alpha$, and non-zero values of all the conserved charges associated with the asymptotic $\mathcal W_\infty[\lambda]$ symmetry.
We extend the available perturbative expansion of the partition function to order $\mathcal O(\alpha^{18})$ for generic values of the $\lambda$ parameter.
The result matches the CFT prediction at $\lambda=0$ and at $\lambda=1$ where we provide the exact all-order expansion of the partition function.

C. Candu and M. R. Gaberdiel, Supersymmetric holography on A d S 3 AdS_{3}
Original
1939
Earlier work this paper cites.
S. Datta and J. R. David, Black holes in higher spin supergravity
Original
1946
Earlier work this paper cites.
A. Achucarro and P. Townsend, A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories
1986
Earlier work this paper cites.
E. Witten, (2+1)-Dimensional Gravity as an Exactly Soluble System
1988
Earlier work this paper cites.
C. Pope, L. Romans, and X. Shen, W ∞ W_{\infty} and the Racah-Wigner Algebra
1990
Earlier work this paper cites.
M. Banados, C. Teitelboim, and J. Zanelli, The Black hole in three-dimensional space-time
1992
Earlier work this paper cites.
M. Banados, M. Henneaux, C. Teitelboim, and J. Zanelli, Geometry of the (2+1) black hole
1993
Earlier work this paper cites.
O. Coussaert, M. Henneaux, and P. van Driel, The Asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
1995
Earlier work this paper cites.
M. A. Vasiliev, Higher spin gauge theories in four-dimensions, three-dimensions, and two-dimensions
1996
Earlier work this paper cites.
S. Prokushkin and M. A. Vasiliev, Higher spin gauge interactions for massive matter fields in 3-D AdS space-time
1999
Earlier work this paper cites.