Magnetic catalysis and inverse magnetic catalysis in (2+1)-dimensional gauge theories from holographic models

Understand

We study the deconfinement phase transition in $ (2+1) $-dimensional holographic $ SU(N) $ gauge theories in the presence of an external magnetic field from the holographic hard and soft wall models.

• We obtain exact solutions for the critical temperature of the deconfinement transition for any range of magnetic field.
• As a consequence, we find a critical magnetic field $(B_c)$, in which the critical temperature $(T_c)$ vanishes; for $B<B_c$ we have an inverse magnetic catalysis and for $ B>B_c $ we have a magnetic catalysis.