AdS${}_3$ and AdS${}_2$ Magnetic Brane Solutions

Abstract

We investigate AdS${}_3$ and AdS${}_2$ magnetic brane solutions within the consistent truncation of AdS${}_5\times S^5$ supergravity. The AdS${}_3$ solution extends earlier work by allowing a general embedding of the magnetic $U(1)$ in $SO(6)$. We determine the ratio of strong- and weak-coupling entropies as a function of this embedding. Further, by considering crossed magnetic fields in different $U(1)$'s we are able to construct a solution that runs from AdS${}_5$ in the UV to AdS${}_2\times R^3$ in the IR. We find the notable result that there is a zero temperature entropy at strong coupling but not at weak coupling. We also show that the AdS${}_2$ solution and at least some of the AdS${}_3$ solutions are stable within the truncation.

15 pages, 2 figures

References in corpus (7)

• Hydrodynamics with Triangle Anomalies
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Emergent quantum criticality, Fermi surfaces, and AdS2
• Hall conductivity from dyonic black holes
• Semi-Holographic Fermi Liquids
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Magnetic Brane Solutions in AdS

Cited by in corpus (10)

• Spatially modulated instabilities of magnetic black 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
• Magnetic AdS x R^2: Supersymmetry and stability
• 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
• Charged Magnetic Brane Correlators and Twisted Virasoro Algebras
• Emergent Super-Virasoro on Magnetic Branes
• Marginal Deformations of Non-Relativistic Field Theories