Remark on the open string pair production enhancement

TL;DR

This paper investigates whether adding multiple magnetic fluxes can further enhance open string pair production between Dp branes, finding that the maximum enhancement occurs at p=3 with a single magnetic flux, which could have experimental implications.

Contribution

The study demonstrates that adding more magnetic fluxes does not increase pair production, establishing p=3 as the optimal case for enhancement with realistic fluxes.

Findings

Adding more magnetic fluxes diminishes pair production rate.

Maximum enhancement occurs at p=3 with single magnetic flux.

Potential for experimental detection if our universe is a D3 brane.

Abstract

Recent studies by one of the present authors along with his collaborators in [1-4] show that there exist the so-called open string pair production for a possible simplest system of two Dp branes, placed parallel at a separation and with each carrying different electric flux, in Type II superstring theories. Further this pair production can be greatly enhanced when a magnetic flux, sharing no common field strength index with the electric one, is added, implying then $p \ge 3$. Given this, one may wonder if further enhancement can be achieved by adding more magnetic flux(es) in a similar fashion. In this paper, we explore this possibility. It turns out that adding more such magnetic flux diminishes rather than enhances the pair production rate. This actually implies that the largest enhancement occurs at $p = 3$ when the same realistic electric and magnetic fluxes are applied for all $p \ge 3$. Curiously one of D3 branes may be our own world and if so, the enhancement gives a possible opportunity to detect the pair production, therefore to test the underlying string theories.