Kinky D-Strings

TL;DR

This paper investigates the dynamics of D-strings in the presence of D5-branes with background fields, revealing kink solutions and bound states that correspond to complex string interactions and dyonic instantons.

Contribution

It demonstrates the existence of kink solutions and bound states in D-string and D5-brane systems, connecting these to dyonic instantons and enriching the understanding of brane interactions.

Findings

Existence of kink solutions interpolating between D5-branes.

Identification of bound states with Q-kinks and dyonic instantons.

Low-energy dynamics described by hyperKahler sigma-models.

Abstract

We study two-dimensional SQED viewed as the world-volume theory of a D-string in the presence of D5-branes with non-zero background fields that induce attractive forces between the branes. In various approximations, the low-energy dynamics is given by a hyperKahler, or hyperKahler with torsion, massive sigma-model. We demonstrate the existence of kink solutions corresponding to the string interpolating between different D5-branes. Bound states of the D-string with fundamental strings are identified with Q-kinks which, in turn, are identified with dyonic instanton strings on the D5-brane world-volume.