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J. D. Bekenstein, Black holes and the second law
1974
Earlier work this paper cites.
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy
1996
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity
1998
Earlier work this paper cites.
M. Cvetic, M. J. Duff, P. Hoxha, J. T. Liu, H. Lu, J. X. Lu, R. Martinez-Acosta, C. N. Pope, H. Sati, and T. A. Tran, Embedding AdS black holes in ten-dimensions and eleven-dimensions
1999
Earlier work this paper cites.
J. B. Gutowski and H. S. Reall, Supersymmetric AdS(5) black holes
2005
Earlier work this paper cites.
A. Sen, Black hole entropy function and the attractor mechanism in higher derivative gravity
2005
Earlier work this paper cites.
S. Kachru and E. Silverstein, 4-D conformal theories and strings on orbifolds
2005
Earlier work this paper cites.
S. Kim and K.-M. Lee, 1/16-BPS Black Holes and Giant Gravitons in the AdS(5) X S**5 Space
2006
Earlier work this paper cites.
C. Romelsberger, Counting chiral primaries in N = 1, d=4 superconformal field theories
2006
Earlier work this paper cites.
J. Kinney, J. M. Maldacena, S. Minwalla, and S. Raju, An Index for 4 dimensional super conformal theories
2007
Earlier work this paper cites.
M. Berkooz, D. Reichmann, and J. Simon, A Fermi Surface Model for Large Supersymmetric AdS(5) Black Holes
Original
2008
Earlier work this paper cites.

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2019

Honda, Masazumi

We study supersymmetric index of 4d $SU(N)$ $\mathcal{N}=4$ super Yang-Mills theory on $S^1 \times M_3$.

We compute asymptotic behavior of the index in the limit of shrinking $S^1$ for arbitrary $N$ by a refinement of supersymmetric Cardy formula.
The asymptotic behavior for the superconformal index case ($M_3 =S^3$) at large $N$ agrees with the Bekenstein-Hawking entropy of rotating electrically charged BPS black hole in $AdS_5$ via a Legendre transformation as recently shown in literature.
We also find that the agreement formally persists for finite $N$ if we slightly modify the AdS/CFT dictionary between Newton constant and $N$.

J. D. Bekenstein, Black holes and the second law
1974
Earlier work this paper cites.
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy
1996
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity
1998
Earlier work this paper cites.
M. Cvetic, M. J. Duff, P. Hoxha, J. T. Liu, H. Lu, J. X. Lu, R. Martinez-Acosta, C. N. Pope, H. Sati, and T. A. Tran, Embedding AdS black holes in ten-dimensions and eleven-dimensions
1999
Earlier work this paper cites.
J. B. Gutowski and H. S. Reall, Supersymmetric AdS(5) black holes
2005
Earlier work this paper cites.
A. Sen, Black hole entropy function and the attractor mechanism in higher derivative gravity
2005
Earlier work this paper cites.
S. Kachru and E. Silverstein, 4-D conformal theories and strings on orbifolds
2005
Earlier work this paper cites.
S. Kim and K.-M. Lee, 1/16-BPS Black Holes and Giant Gravitons in the AdS(5) X S**5 Space
2006
Earlier work this paper cites.
C. Romelsberger, Counting chiral primaries in N = 1, d=4 superconformal field theories
2006
Earlier work this paper cites.
J. Kinney, J. M. Maldacena, S. Minwalla, and S. Raju, An Index for 4 dimensional super conformal theories
2007
Earlier work this paper cites.
M. Berkooz, D. Reichmann, and J. Simon, A Fermi Surface Model for Large Supersymmetric AdS(5) Black Holes
Original
2008
Earlier work this paper cites.