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A non-abelian vortex lattice in strongly coupled systems

2013/07/31 by Kenny Wong, K. W. Wong · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Condensed matter physics #Geometry #Homogeneous space #Instability #Lattice (music) #Magnetic field #Mathematics #Mechanics #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Vortex #cond-mat.quant-gas #hep-th

paper · pdf · doi:10.1007/jhep10(2013)148

published as JHEP 1310:148,2013 · 13 pages. Version to appear in JHEP

openalex publication_date 2013/10/01 · arxiv created 2013/10/09 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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