String Network and U-Duality

TL;DR

This paper explores the extension of planar string networks to non-planar configurations using U-duality symmetry in type II string theory, with explicit analysis in 8D space-time showing preserved supersymmetry.

Contribution

It introduces a method to generalize BPS string networks to non-planar forms via U-duality, providing explicit examples in higher dimensions.

Findings

Non-planar string networks can preserve 1/8 supersymmetry.

U-duality symmetry enables the construction of complex string configurations.

Explicit 8D solutions with SL(3) charges demonstrate the approach.

Abstract

We discuss the generalization of recently discovered BPS configurations, corresponding to the planar string networks, to non-planar ones by considering the U-duality symmetry of type II string theory in various dimensions. As an explicit example, we analyze the string solutions in 8-dimensional space-time, carrying SL(3) charges, and show that by aligning the strings along various directions appropriately, one can obtain a string network which preserves 1/8 supersymmetry.