We study the deconfinement phase transition in ( 2 + 1 )-dimensional holographic S U ( 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.
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机译：我们在全息硬壁和软壁全息模型存在外部磁场的情况下研究（2 +1）维全息S U（N）规范理论中的去约束相变。对于任何范围的磁场，我们都能获得解除约束转变临界温度的精确解。结果，我们发现了一个临界磁场（B c），其中临界温度（T c）消失了。对于B B c，我们具有磁催化作用。
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