Holographic Schwinger effect in strongly coupled N = 4 super Yang–Mills plasma on the Coulomb branch

In this study, we investigate the holographic Schwinger effect within the framework of N=4 N = 4 super Yang–Mills theory on the Coulomb branch (cSYM). The Coulomb branch is characterized by spontaneous conformal symmetry breaking via the Higgs mechanism, which dynamically generates a characteristic energy scale Λ Λ . We conduct a detailed analysis to examine how the dimensionless ratio of temperature to energy scale ( T/Λ T / Λ ) influences the quark–antiquark separation length, the potential barrier, and the critical electric field. Our findings indicate that the maximum quark–antiquark separation length exhibits a monotonic suppression as T/Λ T / Λ increases, suggesting that T/Λ T / Λ promotes the dissociation of quark-pair. Additionally, we observe that T/Λ T / Λ reduces both the height and width of the potential barrier. The critical electric field displays suppression with increasing T/Λ T / Λ . These results demonstrate that in strongly coupled cSYM, increasing T/Λ T / Λ enhances the Schwinger effect.