Superfluid black branes in AdS4 × S7
ABSTRACT We consider the d = 3 N = 8 SCFT dual to AdS4 × S7 when held at finite temperature and chemical potential with respect to a diagonal U(1)
R
⊂ 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 subtruncations of SO(8) gauged supergravity finding results that strongly depend
on the truncation used. Our constructions include black brane solutions associated with the GubserMitra 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) AdS4 vacuum in the UV, in an alternative quantisation, and the supersymmetric SU(3) × U(1) AdS4 vacuum in the IR.
KeywordsBlack Holes in String Theory–AdSCFT Correspondence–Holography and condensed matter physics (AdS/CMT)

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ABSTRACT: We consider a fourdimensional $ \mathcal{N}=2 $ gauged supergravity coupled to matter fields. The model is obtained by a U(1) gauging of a charged hypermultiplet and therefore it is suitable for the study of holographic superconductivity. The potential has a topologically flat direction and the parameter running on this “moduli space” labels the new superconducting black holes. The phase diagram of the theory is studied and the zero temperature solutions are constructed. The model has rich dynamics. The retrograde condensate is just a special case in the new class of black holes. The calculation of the entanglement entropy makes manifest the properties of a generic solution and the superconductor at zero temperature is in a confined cohesive phase. The parameter running on the topologically flat direction is a marginal coupling in the dual field theory. We prove this statement by considering the way double trace deformations are treated in the AdS/CFT correspondence. Finally, we comment on a possible connection, in the context of gauge/gravity dualities, between the geometry of the scalar manifold in $ \mathcal{N}=2 $ supergravity models and the space of marginal deformations of the dual field theory.Journal of High Energy Physics 06/2012; 2012(10). DOI:10.1007/JHEP10(2012)009 · 6.22 Impact Factor 
Article: Competing pwave orders
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ABSTRACT: We construct electrically charged, asymptotically $AdS_5$ black hole solutions that are dual to $d=4$ CFTs in a superfluid phase with either pwave or $(p+ip)$wave order. The two types of black holes have nonvanishing charged twoform in the bulk and appear at the same critical temperature in the unbroken phase. Both the pwave and the $(p+ip)$wave phase can be thermodynamically preferred, depending on the mass and charge of the twoform, and there can also be first order transitions between them. The pwave black holes have a helical structure and some of them exhibit the phenomenon of pitch inversion as the temperature is decreased. Both the pwave and the $(p+ip)$wave black holes have zero entropy density ground states at zero temperature and we identify some new ground states which exhibit scaling symmetry, including a novel scenario for the emergence of conformal symmetry in the IR.Classical and Quantum Gravity 10/2013; 31(5). DOI:10.1088/02649381/31/5/055007 · 3.10 Impact Factor 
Article: Holographic Qlattices
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ABSTRACT: We introduce a new framework for constructing black hole solutions that are holographically dual to strongly coupled field theories with explicitly broken translation invariance. It relies on the gravitational theory having a continuous global symmetry and leads to constructions that involve solving ODEs. We study in detail $D=4$ EinsteinMaxwell theory coupled to a complex scalar field with a simple mass term. We construct black holes dual to metallic phases which exhibit a Drudetype peak in the optical conductivity, but there is no evidence of an intermediate scaling that has been reported in other holographic lattice constructions. We also construct black holes dual to insulating phases which exhibit a suppression of spectral weight at low frequencies. We show that the model also admits a novel $AdS_3\times\mathbb{R}$ solution.Journal of High Energy Physics 11/2013; 2014(4). DOI:10.1007/JHEP04(2014)040 · 6.22 Impact Factor