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

Abstract

Abstract Consider a system consisting of Dp and Dp′, placed parallel at a separation and with p − p′ = 2n (assuming p ≥ p′, the integer n ≥ 0 and p′ > 0). When either Dp or Dp′ 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 Dp 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.