Understanding the open string pair production of the Dp/D0 system

Abstract

Consider a system consisting of D$p$ and D$p'$, placed parallel at a separation and with $p - p' = 2 n$ (assuming $p \ge p'$, the integer $n \ge 0$ and $p' > 0$). When either D$p$ or D$p'$ carries a worldvolume electric flux, one in general expects a non-vanishing open string pair production due to the pair of virtual open string/anti open string connecting the two D branes under the action of the applied flux. However, this will not be true for $p' = 0$ and $p = 2, 4, 6$ when the D$p$ carries a pure electric flux. In this note, we will explore the case for which a finite non-vanishing open string pair production rate can indeed be produced when a certain worldvolume flux is applied to the Dp brane and understand the physics behind.