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Using the Witten-Sakai-Sugimoto model in the D0-D4 background, weholographically compute the vacuum decay rate of the Schwinger effect in thismodel. Our calculation contains the influence of the D0-brane density whichcould be identified as the $\theta$ angle or chiral potential in QCD. Under thestrong electromagnetic fields, the instability appears due to the creation ofquark-antiquark pairs and the associated decay rate can be obtained byevaluating the imaginary part of the effective Euler-Heisenberg action which isidentified as the action of the probe brane with a constant electromagneticfield. In the bubble D0-D4 configuration, we find the decay rate decreases whenthe $\theta$ angle increases since the vacuum becomes heavier in the present ofthe glue condensate in this system. And the decay rate matches to the result inthe black D0-D4 configuration at zero temperature limit according to ourcalculations. In this sense, the Hawking-Page transition of this model could beconsistently interpreted as the confined/deconfined phase transition.Additionally there is another instability from the D0-brane itself in thissystem and we suggest that this instability reflects to the vacuum decaytriggered by the $\theta$ angle as it is known in the $\theta$-dependent QCD.

Electromagnetic instability and Schwinger effect in the Witten-Sakai-Sugimoto model with D0-D4 background