2008

Holographic Superconductors with Various Condensates

Horowitz, Gary T., Roberts, Matthew M.

Understand

We extend earlier treatments of holographic superconductors by studying cases where operators of different dimension condense in both 2+1 and 3+1 superconductors.

We also compute a correlation length.
We find surprising regularities in quantities such as $\omega_g/T_c$ where $\omega_g$ is the gap in the frequency dependent conductivity.
In special cases, new bound states arise corresponding to vector normal modes of the dual near-extremal black holes.

Built on

V. Cardoso and J. P. S. Lemos, “Quasi-normal modes of toroidal, cylindrical and planar black holes in anti-de Sitter spacetimes,” Class. Quant. Grav. 18
Original
2001
Earlier work this paper cites.
D. T. Son and A. O. Starinets, “Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications,” JHEP 0209
2002
Earlier work this paper cites.
T. Hertog and G. T. Horowitz, “Towards a big crunch dual,” JHEP 0407
2004
Earlier work this paper cites.

Similar

V. E. Hubeny, X. Liu, M. Rangamani and S. Shenker, “Comments on cosmic censorship in AdS/CFT,” JHEP 0412
2004
Cited alongside, same era.
P. K. Kovtun and A. O. Starinets, “Quasinormal modes and holography,” Phys. Rev. D 72
2005
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S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, “Building a Holographic Superconductor,” Phys. Rev. Lett. 101
Original
2008
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S. S. Gubser, “Breaking an Abelian gauge symmetry near a black hole horizon,” arXiv:0801.2977 [hep-th]
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Cited in the paper.
S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, “Holographic Superconductors”, to appear
Cited in the paper.
W. Y. Wen, “Inhomogeneous magnetic field in AdS/CFT superconductor,” arXiv:0805.1550 [hep-th]
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Cited in the paper.
K. Maeda and T. Okamura, “Characteristic length of an AdS/CFT superconductor,” arXiv:0809.3079 [hep-th]
Original
Cited in the paper.
S. S. Gubser, “Colorful horizons with charge in anti-de Sitter space,” arXiv:0803.3483 [hep-th]
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Cited in the paper.
S. S. Gubser and S. S. Pufu, “The gravity dual of a p-wave superconductor,” arXiv:0805.2960 [hep-th]
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P. Basu, A. Mukherjee and H. H. Shieh, “Supercurrent: Vector Hair for an AdS Black Hole,” arXiv:0809.4494 [hep-th]
Original
Cited in the paper.
C. P. Herzog, P. K. Kovtun and D. T. Son, “Holographic model of superfluidity,” arXiv:0809.4870 [hep-th]
Original
Cited in the paper.
M. Taylor, “More on counterterms in the gravitational action and anomalies,” arXiv:hep-th/0002125
Cited in the paper.

Then

E. Nakano and W. Y. Wen, “Critical Magnetic Field In A Holographic Superconductor,” Phys. Rev. D 78
Original
2008
Closest in time.
T. Albash and C. V. Johnson, “A Holographic Superconductor in an External Magnetic Field,” JHEP 0809
Original
2008
Closest in time.
M. M. Roberts and S. A. Hartnoll, “Pseudogap and time reversal breaking in a holographic superconductor,” JHEP 0808
Original
2008
Closest in time.

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