Charged Macroscopic type II Strings and their Networks

TL;DR

This paper constructs charged macroscopic (p,q)-string solutions in type II string theories, explores their supersymmetry properties, and presents examples of string networks with specific alignment conditions that preserve partial supersymmetry.

Contribution

It provides explicit charged string solutions, analyzes their supersymmetry preservation, and demonstrates the formation of supersymmetric string networks with alignment conditions.

Findings

Charged macroscopic string solutions preserve 1/2 supersymmetry.

SL(2,Z) multiplets of strings are constructed using S-duality.

Certain string networks preserve 1/4 supersymmetry with specific parameter alignments.

Abstract

We write down charged macroscopic string solutions in type II string theories, compactified on torii, and present an explicit solution of the spinor Killing equations to show that they preserve 1/2 of the type II supersymmetries. The S-duality symmetry of the type IIB string theory in ten-dimensions is used to write down the SL(2,Z) multiplets of such strings and the corresponding 1/2 supersymmetry conditions. Finally we present examples of planar string networks, using charged macroscopic (p,q)-strings. An interesting feature of some of these networks, which preserve 1/4 supersymmetry, is a required alignment among three parameters, namely the orientation of strings, a U(1) phase associated with the maximal compact subgroup of SL(2, Z), and an (angular) parameter associated with a solution generating transformation, which is responsible for creating charges and currents on the strings.