Branes, central charges and U-duality invariant BPS conditions

TL;DR

This paper derives U-duality invariant conditions on brane charges in extended supergravity theories, linking charge configurations to preserved supersymmetries and intersecting brane pictures across multiple dimensions.

Contribution

It provides a comprehensive set of U-duality invariant BPS conditions for all extended supergravities with 16 or 32 supersymmetries, connecting charges to supersymmetry preservation.

Findings

U-duality invariants characterize supersymmetry preservation

Conditions apply to all extended supergravities with 16 or 32 supersymmetries

Relates intersecting brane configurations to charge invariants

Abstract

In extended supergravity theories there are $p$-brane solutions preserving different numbers of supersymmetries, depending on the charges, the spacetime dimension and the number of original supersymmetries (8, 16 or 32). We find U-duality invariant conditions on the quantized charges which specify the number of supersymmetries preserved with a particular charge configuration. These conditions relate U-duality invariants to the picture of intersecting branes. The analysis is carried out for all extended supergravities with 16 or 32 supersymmetries in various dimensions.