Magnetic Catalysis in AdS4

TL;DR

This paper investigates how magnetic fields induce fermion condensates in AdS4 space, revealing a novel magnetic catalysis mechanism that breaks CP symmetry and has implications for strongly coupled 2+1-dimensional boundary theories.

Contribution

It introduces a new form of magnetic catalysis in AdS4 with a hard wall, linking bulk fermion condensates to boundary phenomena in strongly coupled systems.

Findings

Magnetic field induces fermion condensate in AdS4.

Condensate spontaneously breaks CP symmetry.

Results relate to magnetic catalysis in 2+1-dimensional boundary theories.

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.