Inverse magnetic catalysis in holographic models of QCD

We study the effect of magnetic field B on the critical temperature Tc of the confinement-deconfinement phase transition in hard-wall AdS/QCD, and holographic duals of flavored and unflavored N=4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=4 $$\end{document} super-Yang Mills theories on ℝ3×S1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\mathbb{R}}^3\times {\mathrm{S}}^1 $$\end{document}. For all of the holographic models, we find that Tc(B) decreases with increasing magnetic field B ≪ T2, consistent with the inverse magnetic catalysis recently observed in lattice QCD for B ≲ 1 GeV2. We also predict that, for large magnetic field B ≫ T2, the critical temperature Tc(B), eventually, starts to increase with increasing magnetic field B ≫ T2 and asymptotes to a constant value.