U-duality and Network Configurations of Branes

TL;DR

This paper derives invariant supersymmetry conditions for branes with arbitrary moduli and U-duality charges, leading to the discovery of new BPS states with network-like configurations across various dimensions.

Contribution

It provides explicit supersymmetry conditions for branes with generic moduli and charges, enabling the identification of novel BPS states with network structures.

Findings

New BPS states with network configurations identified

Explicit supersymmetry conditions derived for various dimensions

Enhanced understanding of U-duality invariance in brane systems

Abstract

We explicitly write down the invariant supersymmetry conditions for branes with generic values of moduli and U-duality charges in various space-time dimensions $D \leq 10$. We then use these results to obtain new BPS states, corresponding to network type structure of such branes.