Magnetization Fields in the AdS$_3$/CFT$_2$ Universe

In this paper we study the magnetization fields in the non-perturbative AdS$_3$/CFT$_2$ universe. Using the holographic superfield duality, we construct a class of magnetized superfields whose energy density is given by the kinetic energy of the superfields and the electromagnetic energy of the superfields. We show that these fields are a direct product of the AdS$_3$+CFT$_2$ fields and the superfields. In particular, we prove that when the AdS$_3$+CFT$_2$ field is present, the corresponding magnetized superfields are direct products of the AdS$_3$ fields and superfields.