Built on

M. Honda, “Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula,” Phys. Rev
Original
1901
Earlier work this paper cites.
D. Jain and A. Ray, “3d 𝒩 = 2 \mathcal{N}=2 A D E ^ \widehat{ADE} Chern-Simons quivers,” Phys. Rev
Original
1902
Earlier work this paper cites.
A. Arabi Ardehali, “Cardy-like asymptotics of the 4d 𝒩 = 4 \mathcal{N}=4 index and AdS 5
Original
1902
Earlier work this paper cites.
J. Kim, S. Kim, and J. Song, “A 4d N = 1 N=1 Cardy Formula,” arXiv:1904.03455 [hep-th]
Original
1904
Earlier work this paper cites.
A. Cabo-Bizet, D. Cassani, D. Martelli, and S. Murthy, “The asymptotic growth of states of the 4d 𝒩 = 1 \mathcal{N}=1 superconformal index,” JHEP
Original
1904
Earlier work this paper cites.
A. Amariti, I. Garozzo, and G. Lo Monaco, “Entropy function from toric geometry,” arXiv:1904.10009 [hep-th]
Original
1904
Earlier work this paper cites.
D. Cassani and L. Papini, “The BPS limit of rotating AdS black hole thermodynamics,” arXiv:1906.10148 [hep-th]
Original
1906
Earlier work this paper cites.
P. Benetti Genolini, J. M. Pérez Ipiña, and J. Sparks, “Localization of the action in AdS/CFT,” arXiv:1906.11249 [hep-th]
Original
1906
Earlier work this paper cites.
K. Hristov, S. Katmadas, and C. Toldo, “Matter-coupled supersymmetric Kerr-Newman-AdS 4 black holes,” arXiv:1907.05192 [hep-th]
Original
1907
Earlier work this paper cites.
F. Larsen, J. Nian, and Y. Zeng, “AdS 5 Black Hole Entropy near the BPS Limit,” arXiv:1907.02505 [hep-th]
Original
1907
Earlier work this paper cites.
A. G. Lezcano and L. A. Pando Zayas, “Microstate Counting via Bethe Ansätze in the 4d 𝒩 = 1 {\cal N}=1 Superconformal Index,” arXiv:1907.12841 [hep-th]
Original
1907
Earlier work this paper cites.
D. Jain, “Twisted Indices of more 3d Quivers,” arXiv:1908.03035 [hep-th]
Original
1908
Earlier work this paper cites.
S. Choi, C. Hwang, and S. Kim, “Quantum vortices, M2-branes and black holes,” arXiv:1908.02470 [hep-th]
Original
1908
Earlier work this paper cites.
A. Lanir, A. Nedelin, and O. Sela, “Black hole entropy function for toric theories via Bethe Ansatz,” arXiv:1908.01737 [hep-th]
Original
1908
Earlier work this paper cites.
K. Hristov, I. Lodato, and V. Reys, “One-loop determinants for black holes in 4d gauged supergravity,” arXiv:1908.05696 [hep-th]
Original
1908
Earlier work this paper cites.
S. M. Hosseini, K. Hristov, and A. Zaffaroni, “Microstates of rotating AdS 5 strings,” arXiv:1909.08000 [hep-th]
Original
1909
Earlier work this paper cites.
J. Nian and L. A. Pando Zayas, “Microscopic Entropy of Rotating Electrically Charged AdS 4 Black Holes from Field Theory Localization,” arXiv:1909.07943 [hep-th]
Original
1909
Earlier work this paper cites.
A. Gnecchi and C. Toldo, “On the non-BPS first order flow in N=2 U(1)-gauged Supergravity,” JHEP
Original
1966
Earlier work this paper cites.
D. D. K. Chow, “Equal charge black holes and seven dimensional gauged supergravity,” Class. Quant. Grav
Original
1975
Earlier work this paper cites.
A. Belavin, A. Polyakov, and A. Zamolodchikov, “Infinite conformal symmetry in two-dimensional quantum field theory,” Nuclear Physics B
1984
Earlier work this paper cites.
C. Beem, T. Dimofte, and S. Pasquetti, “Holomorphic Blocks in Three Dimensions,” JHEP
Original
1986
Earlier work this paper cites.
S. Ferrara, R. Kallosh, and A. Strominger, “N=2 extremal black holes,” Phys. Rev
1995
Earlier work this paper cites.
S. Ferrara and R. Kallosh, “Supersymmetry and attractors,” Phys. Rev
1996
Earlier work this paper cites.
N. Seiberg, “Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics,” Phys. Lett
1996
Earlier work this paper cites.
L. Andrianopoli, M. Bertolini, A. Ceresole, R. D’Auria, S. Ferrara, P. Fre, and T. Magri, “N=2 supergravity and N=2 superYang-Mills theory on general scalar manifolds: Symplectic covariance, gaugings and the momentum map,” J. Geom. Phys
1997
Earlier work this paper cites.
A. Brandhuber and Y. Oz, “The D-4 - D-8 brane system and five-dimensional fixed points,” Phys. Lett
1999
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,” Nucl. Phys
1999
Earlier work this paper cites.
M. M. Caldarelli and D. Klemm, “Supersymmetry of Anti-de Sitter black holes,” Nucl. Phys
1999
Earlier work this paper cites.
R. D’Auria, S. Ferrara, and S. Vaula, “F(4) supergravity and 5-D superconformal field theories,” Class. Quant. Grav
2001
Earlier work this paper cites.
L. Andrianopoli, R. D’Auria, and S. Vaula, “Matter coupled F(4) gauged supergravity Lagrangian,” JHEP
2001
Earlier work this paper cites.
H. Ooguri, A. Strominger, and C. Vafa, “Black hole attractors and the topological string,” Phys. Rev
2004
Earlier work this paper cites.
J. B. Gutowski and H. S. Reall, “Supersymmetric AdS(5) black holes,” JHEP
2004
Earlier work this paper cites.

Similar

L. Andrianopoli, S. Ferrara, and M. A. Lledo, “Scherk-Schwarz reduction of D = 5 special and quaternionic geometry,” Class. Quant. Grav
2004
Cited alongside, same era.
A. Sen, “Black hole entropy function and the attractor mechanism in higher derivative gravity,” JHEP
2005
Cited alongside, same era.
Z. W. Chong, M. Cvetic, H. Lu, and C. N. Pope, “General non-extremal rotating black holes in minimal five-dimensional gauged supergravity,” Phys. Rev. Lett
2005
Cited alongside, same era.
H. K. Kunduri, J. Lucietti, and H. S. Reall, “Supersymmetric multi-charge AdS(5) black holes,” JHEP
2006
Cited alongside, same era.
D. Astefanesei, K. Goldstein, R. P. Jena, A. Sen, and S. P. Trivedi, “Rotating attractors,” JHEP
2006
Cited alongside, same era.

Then

D. L. Jafferis and S. S. Pufu, “Exact results for five-dimensional superconformal field theories with gravity duals,” JHEP
Original
2014
Later among the works it cites.
A. Gnecchi and N. Halmagyi, “Supersymmetric black holes in A d S 4 AdS_{4} from very special geometry,” JHEP
Original
2014
Later among the works it cites.
N. Halmagyi, “Static BPS black holes in AdS 4
Original
2015
Later among the works it cites.
C. Hwang and J. Park, “Factorization of the 3d superconformal index with an adjoint matter,” JHEP
Original
2015
Later among the works it cites.
F. Benini and A. Zaffaroni, “A topologically twisted index for three-dimensional supersymmetric theories,” JHEP

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2019

Gluing gravitational blocks for AdS black holes

Hosseini, Seyed Morteza, Hristov, Kiril, Zaffaroni, Alberto

Understand

We provide a unifying entropy functional and an extremization principle for black holes and black strings in AdS$_4\times S^7$ and AdS$_5\times S^5$ with arbitrary rotation and generic electric and magnetic charges.

This is done by gluing gravitational blocks, basic building blocks that are directly inspired by the holomorphic blocks appearing in the factorization of supersymmetric partition functions in three and four dimensions.
We also provide an explicit realization of the attractor mechanism by identifying the values of the scalar fields at the horizon with the critical points of the entropy functional.
We give examples based on dyonic rotating black holes with a twist in AdS$_4\times S^7$, rotating black strings in AdS$_5\times S^5$, dyonic Kerr-Newman black holes in AdS$_4\times S^7$ and Kerr-Newman black holes in AdS$_5\times S^5$.

Built on

M. Honda, “Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula,” Phys. Rev
Original
1901
Earlier work this paper cites.
D. Jain and A. Ray, “3d 𝒩 = 2 \mathcal{N}=2 A D E ^ \widehat{ADE} Chern-Simons quivers,” Phys. Rev
Original
1902
Earlier work this paper cites.
A. Arabi Ardehali, “Cardy-like asymptotics of the 4d 𝒩 = 4 \mathcal{N}=4 index and AdS 5
Original
1902
Earlier work this paper cites.
J. Kim, S. Kim, and J. Song, “A 4d N = 1 N=1 Cardy Formula,” arXiv:1904.03455 [hep-th]
Original
1904
Earlier work this paper cites.
A. Cabo-Bizet, D. Cassani, D. Martelli, and S. Murthy, “The asymptotic growth of states of the 4d 𝒩 = 1 \mathcal{N}=1 superconformal index,” JHEP
Original
1904
Earlier work this paper cites.
A. Amariti, I. Garozzo, and G. Lo Monaco, “Entropy function from toric geometry,” arXiv:1904.10009 [hep-th]
Original
1904
Earlier work this paper cites.
D. Cassani and L. Papini, “The BPS limit of rotating AdS black hole thermodynamics,” arXiv:1906.10148 [hep-th]
Original
1906
Earlier work this paper cites.
P. Benetti Genolini, J. M. Pérez Ipiña, and J. Sparks, “Localization of the action in AdS/CFT,” arXiv:1906.11249 [hep-th]
Original
1906
Earlier work this paper cites.
K. Hristov, S. Katmadas, and C. Toldo, “Matter-coupled supersymmetric Kerr-Newman-AdS 4 black holes,” arXiv:1907.05192 [hep-th]
Original
1907
Earlier work this paper cites.
F. Larsen, J. Nian, and Y. Zeng, “AdS 5 Black Hole Entropy near the BPS Limit,” arXiv:1907.02505 [hep-th]
Original
1907
Earlier work this paper cites.
A. G. Lezcano and L. A. Pando Zayas, “Microstate Counting via Bethe Ansätze in the 4d 𝒩 = 1 {\cal N}=1 Superconformal Index,” arXiv:1907.12841 [hep-th]
Original
1907
Earlier work this paper cites.
D. Jain, “Twisted Indices of more 3d Quivers,” arXiv:1908.03035 [hep-th]
Original
1908
Earlier work this paper cites.
S. Choi, C. Hwang, and S. Kim, “Quantum vortices, M2-branes and black holes,” arXiv:1908.02470 [hep-th]
Original
1908
Earlier work this paper cites.
A. Lanir, A. Nedelin, and O. Sela, “Black hole entropy function for toric theories via Bethe Ansatz,” arXiv:1908.01737 [hep-th]
Original
1908
Earlier work this paper cites.
K. Hristov, I. Lodato, and V. Reys, “One-loop determinants for black holes in 4d gauged supergravity,” arXiv:1908.05696 [hep-th]
Original
1908
Earlier work this paper cites.
S. M. Hosseini, K. Hristov, and A. Zaffaroni, “Microstates of rotating AdS 5 strings,” arXiv:1909.08000 [hep-th]
Original
1909
Earlier work this paper cites.
J. Nian and L. A. Pando Zayas, “Microscopic Entropy of Rotating Electrically Charged AdS 4 Black Holes from Field Theory Localization,” arXiv:1909.07943 [hep-th]
Original
1909
Earlier work this paper cites.
A. Gnecchi and C. Toldo, “On the non-BPS first order flow in N=2 U(1)-gauged Supergravity,” JHEP
Original
1966
Earlier work this paper cites.
D. D. K. Chow, “Equal charge black holes and seven dimensional gauged supergravity,” Class. Quant. Grav
Original
1975
Earlier work this paper cites.
A. Belavin, A. Polyakov, and A. Zamolodchikov, “Infinite conformal symmetry in two-dimensional quantum field theory,” Nuclear Physics B
1984
Earlier work this paper cites.
C. Beem, T. Dimofte, and S. Pasquetti, “Holomorphic Blocks in Three Dimensions,” JHEP
Original
1986
Earlier work this paper cites.
S. Ferrara, R. Kallosh, and A. Strominger, “N=2 extremal black holes,” Phys. Rev
1995
Earlier work this paper cites.
S. Ferrara and R. Kallosh, “Supersymmetry and attractors,” Phys. Rev
1996
Earlier work this paper cites.
N. Seiberg, “Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics,” Phys. Lett
1996
Earlier work this paper cites.
L. Andrianopoli, M. Bertolini, A. Ceresole, R. D’Auria, S. Ferrara, P. Fre, and T. Magri, “N=2 supergravity and N=2 superYang-Mills theory on general scalar manifolds: Symplectic covariance, gaugings and the momentum map,” J. Geom. Phys
1997
Earlier work this paper cites.
A. Brandhuber and Y. Oz, “The D-4 - D-8 brane system and five-dimensional fixed points,” Phys. Lett
1999
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,” Nucl. Phys
1999
Earlier work this paper cites.
M. M. Caldarelli and D. Klemm, “Supersymmetry of Anti-de Sitter black holes,” Nucl. Phys
1999
Earlier work this paper cites.
R. D’Auria, S. Ferrara, and S. Vaula, “F(4) supergravity and 5-D superconformal field theories,” Class. Quant. Grav
2001
Earlier work this paper cites.
L. Andrianopoli, R. D’Auria, and S. Vaula, “Matter coupled F(4) gauged supergravity Lagrangian,” JHEP
2001
Earlier work this paper cites.
H. Ooguri, A. Strominger, and C. Vafa, “Black hole attractors and the topological string,” Phys. Rev
2004
Earlier work this paper cites.
J. B. Gutowski and H. S. Reall, “Supersymmetric AdS(5) black holes,” JHEP
2004
Earlier work this paper cites.

Similar

L. Andrianopoli, S. Ferrara, and M. A. Lledo, “Scherk-Schwarz reduction of D = 5 special and quaternionic geometry,” Class. Quant. Grav
2004
Cited alongside, same era.
A. Sen, “Black hole entropy function and the attractor mechanism in higher derivative gravity,” JHEP
2005
Cited alongside, same era.
Z. W. Chong, M. Cvetic, H. Lu, and C. N. Pope, “General non-extremal rotating black holes in minimal five-dimensional gauged supergravity,” Phys. Rev. Lett
2005
Cited alongside, same era.
H. K. Kunduri, J. Lucietti, and H. S. Reall, “Supersymmetric multi-charge AdS(5) black holes,” JHEP
2006
Cited alongside, same era.
D. Astefanesei, K. Goldstein, R. P. Jena, A. Sen, and S. P. Trivedi, “Rotating attractors,” JHEP
2006
Cited alongside, same era.