Magnetic AdS x R^2: Supersymmetry and stability

Abstract

We study AdS/CFT with a Kaluza-Klein magnetic field in one plane. By appropriate choice of magnetic U(1), and by balancing the magnetic field against the background D field, we obtain a supersymmetric field theory. We find the dual geometry for an AdS_5 to AdS_3 x R^2 example, and we compare the moduli spaces and entropies. For the entropy, the interactions are important even at weak coupling. We also consider nonsupersymmetric embeddings of the U(1), and show that over a regime of parameter space all known instabilities appear to be absent, aside from a dilaton tadpole that may be removed in a number of ways.

19 pages. v2: Stability analysis corrected following Donos, Gauntlett, and Pantelidou, arXiv:1112.4195

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Cited by in corpus (23)

• Four-Dimensional SCFTs from M5-Branes
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Spatially modulated instabilities of magnetic black branes
• Holographic Entanglement Entropy and Fermi Surfaces
• Two-dimensional SCFTs from D3-branes
• Magnetic and electric AdS solutions in string- and M-theory
• Charged Dilatonic AdS Black Holes and Magnetic AdS_{D-2} x R^2 Vacua
• 3D supergravity from wrapped M5-branes
• Large-density field theory, viscosity, and "$2k_F$" singularities from string duals
• Minimally packed phases in holography
• Non-supersymmetric AdS and the Swampland
• Flowing from $Ad{S}_5$ to $Ad{S}_3$ with $T^{1,1}$
• Comments on $Ad{S}_2$ solutions from M2-branes on complex curves and the backreacted Kähler geometry
• Charge Expulsion from Black Brane Horizons, and Holographic Quantum Criticality in the Plane
• Magnetic AdS2 x R2 at Weak and Strong Coupling
• c-extremization from toric geometry
• Wilson lines for AdS_5 black strings
• Comments on AdS_2 Gravity
• Emergent Super-Virasoro on Magnetic Branes
• Magnetically-charged supersymmetric flows of gauged $\mathcal{N}=8$ supergravity in five dimensions
• Marginal Deformations of Non-Relativistic Field Theories
• Stable Bianchi III attractor in $U(1{)}_R$ gauged supergravity
• On the Supersymmetry of Bianchi attractors in Gauged supergravity