Magnetic Catalysis in AdS4

Abstract

We study the formation of fermion condensates in Anti de Sitter space. In particular, we describe a novel version of magnetic catalysis that arises for fermions in asymptotically AdS4 geometries which cap off in the infra-red with a hard wall. We show that the presence of a magnetic field induces a fermion condensate in the bulk that spontaneously breaks CP symmetry. From the perspective of the dual boundary theory, this corresponds to a strongly coupled version of magnetic catalysis in d=2+1.

22 pages, 4 figures. v2: References added, factors of 2 corrected, extra comments added in appendix. v3: extra comments about fermion modes in a hard wall background. v4: A final factor of 2

References in corpus (4)

• Landau Level Splitting in Graphene in High Magnetic Fields
• Excitonic gap, phase transition, and quantum Hall effect in graphene
• Theory of integer quantum Hall effect in graphene
• A model of a Fermi liquid using gauge-gravity duality

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• Flavoured Large N Gauge Theory on a Compact Space with an External Magnetic Field
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• Anomaly matching condition in two-dimensional systems