Holographic Schwinger effect in an anisotropic background with Gauss-Bonnet corrections* *Supported in part by the National Key Research and Development Program of China (2022YFA1604900); partly supported by the National Natural Science Foundation of China (12275104, 11890711, 11890710, 11735007)

Abstract

Using the anti-de Sitter/conformal field theory (AdS/CFT) correspondence, we study the holographic Schwinger effect in an anisotropic background with the Gauss-Bonnet term. As the background geometry is anisotropic, we consider both cases of the test particle pair and the electric field perpendicular to and parallel to the anisotropic direction. It is shown that the Schwinger effect is enhanced in the perpendicular case when anisotropy rises. In the parallel case, this effect is reversed. Additionally, the potential barrier and the critical electric field in the parallel case are more significantly modified by anisotropy compared to the perpendicular case. We also find that the presence of the Gauss-Bonnet coupling tends to increase the Schwinger effect.