Built on

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B. de Wit and H. Nicolai, “The Parallelizing S 7 S^{7} Torsion in Gauged 𝒩 = 8 {\mathcal{N}}\!=8 Supergravity,” Nucl. Phys
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Similar

Z. W. Chong, H. Lu, and C. N. Pope, “BPS geometries and AdS bubbles,” Phys. Lett
2005
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S. S. Gubser, “Phase transitions near black hole horizons,” Class. Quant. Grav
2005
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S. S. Gubser, “Breaking an Abelian Gauge Symmetry Near a Black Hole Horizon,” Phys. Rev
Original
2008
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S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, “Building a Holographic Superconductor,” Phys. Rev. Lett
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2008
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S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, “Holographic Superconductors,” JHEP
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2008
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Then

N. Bobev, N. Halmagyi, K. Pilch, and N. P. Warner, “Holographic, 𝒩 = 1 {\mathcal{N}}\!=1 Supersymmetric RG Flows on M2 Branes,” JHEP
Original
2009
Later among the works it cites.
J. P. Gauntlett, J. Sonner, and T. Wiseman, “Quantum Criticality and Holographic Superconductors in M- theory,” JHEP
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2010
Later among the works it cites.
S. S. Gubser, S. S. Pufu, and F. D. Rocha, “Quantum critical superconductors in string theory and M- theory,” Phys. Lett
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2010
Later among the works it cites.
A. Donos, J. P. Gauntlett, N. Kim, and O. Varela, “Wrapped M5-branes, consistent truncations and AdS/CMT,” JHEP
Original
2010
Later among the works it cites.
N. Bobev, N. Halmagyi, K. Pilch, and N. P. Warner, “Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points,” Class. Quant. Grav

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2011

Superfluid black branes in AdS_4\times S^7

Donos, Aristomenis, Gauntlett, Jerome P.

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We consider the d=3 N=8 SCFT dual to AdS_4\times S^7 when held at finite temperature and chemical potential with respect to a diagonal U(1)_R\subset SO(8) global symmetry and construct black brane solutions of D=11 supergravity that are associated with the superfluid instability with the highest known critical temperature.

We construct a rich array of solutions using different sub-truncations of SO(8) gauged supergravity finding results that strongly depend on the truncation used.
Our constructions include black brane solutions associated with the Gubser-Mitra instability which preserve the U(1)_R symmetry, and these, in turn, can have further superfluid instabilities.
In addition, we also construct superfluid black branes that at zero temperature are domain walls that interpolate between the SO(8) AdS_4 vacuum in the UV, in an alternative quantisation, and the supersymmetric SU(3)\times U(1) AdS_4 vacuum in the IR.