Monopoles and Holography
arXiv:1010.4178 · doi:10.1007/JHEP01(2011)153
Abstract
We present a holographic theory in AdS_4 whose zero temperature ground state develops a crystal structure, spontaneously breaking translational symmetry. The crystal is induced by a background magnetic field, but requires no chemical potential. This lattice arises from the existence of 't Hooft-Polyakov monopole solitons in the bulk which condense to form a classical object known as a monopole wall. In the infra-red, the magnetic field is screened and there is an emergent SU(2) global symmetry.
33 pages, 16 figures; v2: ref added
References in corpus (19)
- Building an AdS/CFT superconductor
- Lectures on holographic methods for condensed matter physics
- The String Landscape, Black Holes and Gravity as the Weakest Force
- Holographic Superconductors
- The gravity dual of a p-wave superconductor
- Holographic metals and the fractionalized Fermi liquid
- Rational Maps, Monopoles and Skyrmions
- Topological Disorder Operators in Three-Dimensional Conformal Field Theory
- Colorful horizons with charge in anti-de Sitter space
- Collective Modes and Skyrmion Excitations in Graphene SU(4) Quantum Hall Ferromagnets
- Boundary Conditions and Dualities: Vector Fields in AdS/CFT
- The gravity dual to a quantum critical point with spontaneous symmetry breaking
- Symetric Monopoles
- Monopole and Dyon Solutions in AdS space
- Monopole Solutions in AdS Space
- Multi-monopoles and Magnetic Bags
- Icosahedral Skyrmions
- Magnetic Bags and Black Holes
- Holographic Phase Transition to Topological Dyons
Cited by in corpus (28)
- Holographic striped phases
- Further Evidence for Lattice-Induced Scaling
- Magnetic field induced lattice ground states from holography
- Lattice potentials and fermions in holographic non Fermi-liquids: hybridizing local quantum criticality
- Minimally packed phases in holography
- Moduli of Monopole Walls and Amoebas
- Conformal solids and holography
- Vortex Lattices and Crystalline Geometries
- Monopoles in AdS
- Phase diagram of 4D field theories with chiral anomaly from holography
- Holographic Charge Oscillations
- Holographic Dual of the Lowest Landau Level
- Holographic phase transitions from higgsed, non abelian charged black holes
- A Gapless Hard Wall: Magnetic Catalysis in Bulk and Boundary
- The large N limit of the Nahm transform
- Hyperbolic vortices with large magnetic flux
- Gravitating BPS Skyrmions
- Instanton Bags, High Density Holographic QCD and Chiral Symmetry Restoration
- Monopole correlations in holographically flavored liquids
- The Abrikosov Vortex in Curved Space
- A falling magnetic monopole as a holographic local quench
- Axially symmetric Yang-Mills-Higgs solutions in AdS spacetime
- On Holography of Julia-Zee Dyon
- Monopole correlation functions and holographic phases of matter in 2+1 dimensions
- Some Exact Solutions for Maximally Symmetric Topological Defects in Anti de Sitter Space
- Gauge Dynamics and Topological Insulators
- AdS Monopole Black Hole and Phase Transition
- Determination of AdS Monopole Wall via Minimization