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

TL;DR

This paper investigates conditions under which open string pair production occurs in Dp/Dp' brane systems with electric flux, revealing specific cases where pair production is finite and analyzing the underlying physics.

Contribution

It identifies specific Dp/Dp' configurations with electric flux that lead to non-zero open string pair production, clarifying the conditions for this phenomenon.

Findings

Finite non-vanishing pair production rate occurs under certain flux conditions.

Pair production is suppressed in some configurations like p' = 0 with pure electric flux.

The physics behind the pair production mechanism is elucidated.

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.