A Non-Abelian Vortex Lattice in Strongly Coupled Systems

Abstract

The AdS/CFT correspondence predicts that background non-abelian magnetic fields induce instabilities in strongly-coupled systems with non-abelian global symmetries. These instabilities lead to the formation of vortex lattices in which the non-abelian currents "antiscreen" the applied magnetic field. From the bulk perspective, this behaviour can be traced to a well-known instability of Yang-Mills theory. We analyse the phase structure of the instability and comment on aspects of the vortex lattice.

13 pages. Version to appear in JHEP

References in corpus (6)

• Building an AdS/CFT superconductor
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Superconductivity of QCD vacuum in strong magnetic field
• Generalized Rashba spin-orbit coupling for cold atoms
• Two-Dimensional Electron Gas with Cold Atoms in Non-Abelian Gauge Potentials

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• Vector Condensate and AdS Soliton Instability Induced by a Magnetic Field
• Comment on "Charged vector mesons in a strong magnetic field"
• Lifshitz Effects on Vector Condensate Induced by a Magnetic Field
• Magnetic-field effects on $p$-wave phase transition in Gauss-Bonnet gravity
• Phonon spectrum of QCD vacuum in magnetic-field-induced superconducting phase