Supersymmetric D2 anti-D2 Strings

TL;DR

This paper investigates the spectrum of strings between supersymmetric D2 and anti-D2 branes with electric fields, revealing massless states and noncommutative effects, and compares findings with matrix theory descriptions.

Contribution

It provides an explicit analysis of the string spectrum and noncommutativity in supersymmetric D2 anti-D2 systems, highlighting the absence of tachyons and connecting to matrix theory.

Findings

Strings are massless between D2 and anti-D2 branes with electric fields.

Noncommutativity is induced on the brane worldvolume.

Results align with matrix theory descriptions.

Abstract

We consider the flat supersymmetric D2 and anti-D2 system, which follows from ordinary noncommutative D2 anti-D2 branes by turning on an appropriate worldvolume electric field describing dissolved fundamental strings. We study the strings stretched between D2 and anti-D2 branes and show explicitly that the would-be tachyonic states become massless. We compute the string spectrum and clarify the induced noncommutativity on the worldvolume. The results are compared with the matrix theory description of the worldvolume gauge theories.