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AdS$_3$ and AdS$_2$ Magnetic Brane Solutions · Around

2010

AdS$_3$ and AdS$_2$ Magnetic Brane Solutions

Almuhairi, Ahmed

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We investigate AdS$_3$ and AdS$_2$ magnetic brane solutions within the consistent truncation of AdS$_5 \times S^5$ supergravity.

The AdS$_3$ solution extends earlier work by allowing a general embedding of the magnetic $U(1)$ in $SO(6)$.
We determine the ratio of strong- and weak-coupling entropies as a function of this embedding.
Further, by considering crossed magnetic fields in different $U(1)$'s we are able to construct a solution that runs from AdS$_5$ in the UV to AdS$_2 \times R^3$ in the IR.

Built on

J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys. 104
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J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
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A. Strominger, JHEP 9901
1999
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Similar

M. Cvetic, H. Lu, C. N. Pope, A. Sadrzadeh and T. A. Tran, “Consistent SO(6) reduction of type IIB supergravity on S(5),” Nucl. Phys. B 586
2000
Cited alongside, same era.
S. A. Hartnoll and P. Kovtun, “Hall conductivity from dyonic black holes,” Phys. Rev. D 76
Original
2007
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S. A. Hartnoll, P. K. Kovtun, M. Muller and S. Sachdev, “Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes,” Phys. Rev. B 76
Original
2007
Cited alongside, same era.
T. Faulkner, H. Liu, J. McGreevy and D. Vegh, “Emergent quantum criticality, Fermi surfaces, and AdS2,” arXiv:0907.2694 [hep-th]
Original
Cited in the paper.
T. Faulkner and J. Polchinski, “Semi-Holographic Fermi Liquids,” arXiv:1001.5049 [hep-th]
Original
Cited in the paper.

Then

S. A. Hartnoll and C. P. Herzog, “Ohm’s Law at strong coupling: S duality and the cyclotron resonance,” Phys. Rev. D 76
Original
2007
Later among the works it cites.
E. D’Hoker and P. Kraus, “Magnetic Brane Solutions in AdS,” JHEP 0910
Original
2009
Later among the works it cites.
D. T. Son and P. Surowka, “Hydrodynamics with Triangle Anomalies,” Phys. Rev. Lett. 103
Original
2009
Later among the works it cites.

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