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S. M. Hosseini and A. Zaffaroni, “Proving the equivalence of c c -extremization and its gravitational dual for all toric quivers,” JHEP
Original
1901
Earlier work this paper cites.
J. L. Cardy, “Operator Content of Two-Dimensional Conformally Invariant Theories,” Nucl. Phys
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.
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.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP
1998
Earlier work this paper cites.
D. Anselmi, D. Z. Freedman, M. T. Grisaru, and A. A. Johansen, “Nonperturbative formulas for central functions of supersymmetric gauge theories,” Nucl. Phys
1998
Earlier work this paper cites.
I. R. Klebanov and E. Witten, “Superconformal field theory on three-branes at a Calabi-Yau singularity,” Nucl. Phys
1998
Earlier work this paper cites.
S. Ferrara and A. Zaffaroni, “N=1, N=2 4-D superconformal field theories and supergravity in AdS(5),” Phys. Lett
1998
Earlier work this paper cites.
L. Andrianopoli, S. Ferrara, and M. A. Lledo, “Scherk-Schwarz reduction of D = 5 special and quaternionic geometry,” Class. Quant. Grav
2004
Earlier work this paper cites.
A. Butti and A. Zaffaroni, “R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization,” JHEP
2005
Earlier work this paper cites.
S. Benvenuti and M. Kruczenski, “From Sasaki-Einstein spaces to quivers via BPS geodesics: L**p,q—r,” JHEP
2006
Earlier work this paper cites.
S. Benvenuti, L. A. Pando Zayas, and Y. Tachikawa, “Triangle anomalies from Einstein manifolds,” Adv. Theor. Math. Phys
2006
Earlier work this paper cites.
D. Gaiotto, A. Strominger, and X. Yin, “New connections between 4-D and 5-D black holes,” JHEP
2006
Earlier work this paper cites.
K. Behrndt, G. Lopes Cardoso, and S. Mahapatra, “Exploring the relation between 4-D and 5-D BPS solutions,” Nucl. Phys
2006
Earlier work this paper cites.
J. P. Gauntlett and O. Varela, “Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions,” Phys. Rev
Original
2007
Earlier work this paper cites.
G. Lopes Cardoso, J. M. Oberreuter, and J. Perz, “Entropy function for rotating extremal black holes in very special geometry,” JHEP
2007
Earlier work this paper cites.
H. K. Kunduri and J. Lucietti, “Near-horizon geometries of supersymmetric AdS(5) black holes,” JHEP
Original
2007
Earlier work this paper cites.

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2019

Microstates of rotating AdS$_5$ strings

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

Understand

We provide a general formula for the refined topologically twisted index of $\mathcal{N}=1$ gauge theories living on the world-volume of D3-branes at conical Calabi-Yau singularities in the Cardy limit.

The index is defined as the partition function on $T^2 \times S^2_\omega$, with a partial topological twist and a $\Omega$-deformation along $S^2$, in the presence of background magnetic fluxes and fugacities for the global symmetries and can be used to study the properties of a class of BPS black strings.
To this purpose, we find rotating domain-wall solutions of five-dimensional gauged supergravity interpolating between AdS$_5$ and a near horizon region consisting of a warped fibration of BTZ over a sphere.
We explicitly construct rotating domain-walls that can be embedded in AdS$_5 \times S^5$ by uplifting a class of four-dimensional rotating black holes.

Built on

S. M. Hosseini and A. Zaffaroni, “Proving the equivalence of c c -extremization and its gravitational dual for all toric quivers,” JHEP
Original
1901
Earlier work this paper cites.
J. L. Cardy, “Operator Content of Two-Dimensional Conformally Invariant Theories,” Nucl. Phys
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.
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.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP
1998
Earlier work this paper cites.
D. Anselmi, D. Z. Freedman, M. T. Grisaru, and A. A. Johansen, “Nonperturbative formulas for central functions of supersymmetric gauge theories,” Nucl. Phys
1998
Earlier work this paper cites.
I. R. Klebanov and E. Witten, “Superconformal field theory on three-branes at a Calabi-Yau singularity,” Nucl. Phys
1998
Earlier work this paper cites.
S. Ferrara and A. Zaffaroni, “N=1, N=2 4-D superconformal field theories and supergravity in AdS(5),” Phys. Lett
1998
Earlier work this paper cites.
L. Andrianopoli, S. Ferrara, and M. A. Lledo, “Scherk-Schwarz reduction of D = 5 special and quaternionic geometry,” Class. Quant. Grav
2004
Earlier work this paper cites.
A. Butti and A. Zaffaroni, “R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization,” JHEP
2005
Earlier work this paper cites.
S. Benvenuti and M. Kruczenski, “From Sasaki-Einstein spaces to quivers via BPS geodesics: L**p,q—r,” JHEP
2006
Earlier work this paper cites.
S. Benvenuti, L. A. Pando Zayas, and Y. Tachikawa, “Triangle anomalies from Einstein manifolds,” Adv. Theor. Math. Phys
2006
Earlier work this paper cites.
D. Gaiotto, A. Strominger, and X. Yin, “New connections between 4-D and 5-D black holes,” JHEP
2006
Earlier work this paper cites.
K. Behrndt, G. Lopes Cardoso, and S. Mahapatra, “Exploring the relation between 4-D and 5-D BPS solutions,” Nucl. Phys
2006
Earlier work this paper cites.
J. P. Gauntlett and O. Varela, “Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions,” Phys. Rev
Original
2007
Earlier work this paper cites.
G. Lopes Cardoso, J. M. Oberreuter, and J. Perz, “Entropy function for rotating extremal black holes in very special geometry,” JHEP
2007
Earlier work this paper cites.
H. K. Kunduri and J. Lucietti, “Near-horizon geometries of supersymmetric AdS(5) black holes,” JHEP
Original
2007
Earlier work this paper cites.