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Chiral condensate and $\eta^\prime$ meson mass spectrum are studied under theinfluence of an external Abelian magnetic field. We work within the D3/D7Karch--Katz model of flavoured AdS/CFT with supersymmetry broken by theConstable--Myers deformation of the metric. It is shown that this settingyields a quadratic dependence of condensate on field, rather than thenon-analytic (linear in field) dependence, typical for chiral perturbationtheory in the exact chiral limit. We argue that the analytic (quadratic) resultmust be put into correspondence with the leading-order in the $1/N_c$decomposition for the condensate, whereas the existing chiral perturbationtheory result, which is linear in field strength, is $1/N_c$ suppressed.

QCD Vacuum Properties in a Magnetic Field from AdS/CFT: Chiral Condensate and Goldstone Mass