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...sverse to the D3-branes under some discrete group Γ ⊂ SO(6) then the origin becomes 17It was asked whether g must be positive. Naively, negative g leads to instability, but recently it has been shown =-=[48]-=- that nonlinear effects of backreaction can stabilize the system. 18Loop corrections for auxiliary fields are generally uninteresting, being dominated by the cutoff scale for dimensional reasons, and ...

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...erefore, the theory has a quantum critical point. It would be interesting to study its properties (for s-wave holographic superconductors, studies of quantum critical points have recently appeared in =-=[12]-=-). 30 0 5 10 15 20 25 30 0.0 0.5 1.0 1.5 2.0 q-charge Te m pe ra tu re Figure 12: Critical temperature as a function of the 2-form U(1) charge q. 6.4 Dual field theory operator We have seen that the t...

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...y in the UV. We see no reason why some ghost-free theory of this type should not exist. While it remains a challenge to give a general prescription in the AdS/CFT context, we note that section 3.3 of =-=[27]-=- gives an example where the Dirichlet theory lives in AdS2 with positive m 2. 17 the expected ghosts is required by electromagnetic-duality for linearized gravitons, which is related to the change fro...

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... where these brane solutions can be found in asymptotic AdS backgrounds, they can in principle be used to study dual condensed matter systems with quantum phase transitions at zero temperature, as in =-=[12, 13, 14, 15]-=-. An example of an extremal black brane solution that satisfies the third law of thermodynamics (the Nernst law) was obtained in [6] as a solution to the STU model of N = 2, U(1) gauged supergravity i...

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... trivial solution for the scalar is unstable because of the special boundary condition. We then construct non-trivial solutions numerically, which exist only because of the special boundary condition =-=[70]-=-. By computing the free energy and condensate numerically, we demonstrate that a second-order mean-field phase transition occurs from the trivial solution to a non-trivial solution as T decreases. In ...

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...he original homogeneous holographic superconductor. So (5.1) cannot hold. To reproduce (5.1) one would have to fix a large A0 and vary Tc by other means, perhaps by adding a double trace perturbation =-=[39]-=-. Acknowledgements It is a pleasure to thank D. Tong for collaboration at an early stage of this project. We also thank N. Iqbal and the participants of the Simons Symposium on Quantum Entanglement: F...

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...ation we find.5 We expect that holographic Josephson junctions with constant µ can be constructed by modifying the boundary condition for the scalar field in a narrow gap along the lines discussed in =-=[19]-=-. We have restricted attention to the DC Josephson effect. The AC effect says that if a voltage difference V is applied across the junction, then the solution is indeed time dependent and the phase di...

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...h would involve addition of a double trace deformation with a time dependent coefficient, κ(t). As is well known this implies a modified boundary condition for the bulk scalar [80–86]. In equilibrium =-=[87]-=- found that for a class of scalar potentials, there is a critical phase transition at κ = κc where κc < 0. Naively, from the field theory viewpoint, a deformation with negative κ appears to lead to an...