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Magnetic catalysis in AdS\(_{4}\). (English) Zbl 1254.83028

Summary: 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 AdS\(_{4}\) geometries which cap off in the infrared with a hard wall. We show that in the presence of a magnetic field, a \(\langle \bar \psi \gamma^5 \psi \rangle\) condensate develops in the bulk, spontaneously breaking \(CP\) symmetry. From the perspective of the dual boundary theory, this corresponds to a strongly coupled version of \(d = 2 + 1\) magnetic catalysis.

MSC:

83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
83C15 Exact solutions to problems in general relativity and gravitational theory
83C80 Analogues of general relativity in lower dimensions
81T20 Quantum field theory on curved space or space-time backgrounds