Wrapped Branes and Supersymmetry

TL;DR

This paper investigates how multiple branes wrapping different cycles affect supersymmetry preservation, revealing connections to heterotic string solutions and discussing BPS states and supersymmetry enhancement.

Contribution

It generalizes the analysis of supersymmetry preservation for multiple branes in curved backgrounds, specifically in K3 compactifications, linking to heterotic string solutions.

Findings

Identification of supersymmetric configurations involving wrapped branes.

Connection of these configurations to heterotic string solutions.

Discussion on BPS states and potential supersymmetry enhancement.

Abstract

Configurations of two or more branes wrapping different homology cycles of space-time are considered and the amount of supersymmetry preserved is analysed, generalising the analysis of multiple branes in flat space. For K3 compactifications, these give the Type II or M theory origin of certain supersymmetric four-dimensional heterotic string solutions that fit into spin-3/2 multiplets and which become massless at certain points in moduli space. The interpretation of these BPS states and the possibility of supersymmetry enhancement are discussed.