Holographic Schwinger effect in spinning black hole backgrounds*

Abstract

We perform the potential analysis for the holographic Schwinger
effect in spinning Myers-Perry black holes. We compute the
potential between the produced pair by evaluating the classical
action of a string attaching on a probe D3-brane sitting at an
intermediate position in the AdS bulk. It turns out that
increasing the angular momentum reduces the potential barrier thus
enhancing the Schwinger effect, consistent with previous findings
obtained from the local Lorentz transformation. In particular,
these effects are more visible for the particle pair lying in the
transversal plane compared with that along the longitudinal
orientation. In addition, we discuss how the Schwinger effect
changes with the shear viscosity to entropy density ratio at
strong coupling under the influence of angular momentum.