Lineal Trails of D2-D2bar Superstrings

TL;DR

This paper investigates the behavior of superstrings between D2- and anti-D2-branes with gauge fields, identifying conditions for tachyon absence and movement constraints based on electric field configurations.

Contribution

It provides a quantization framework for superstrings in gauge field backgrounds and derives conditions for tachyon elimination and string mobility.

Findings

Interstring movement is restricted by electric field differences.

Tachyonic modes can be eliminated under specific gauge field conditions.

String dynamics depend on the relative electric fields of the branes.

Abstract

We study the superstrings suspended between a D2- and an anti-D2-brane. We quantize the string in the presence of some general configuration of gauge fields over the (anti-)D-brane world volumes. The interstring can move only in a specific direction that is normal to the difference of the electric fields of each (anti-)D-branes. Especially when the electric fields are the same, the interstring cannot move. We obtain the condition for the tachyons to disappear from the spectrum.