Eight Dimensional Noncommutative Instantons and D0-D8 Bound States with B-field

TL;DR

This paper constructs new eight-dimensional noncommutative instanton solutions via ADHM equations, interpreting them as supersymmetric D0-D8 bound states in a B-field, and explores their symmetry properties and supersymmetry preservation.

Contribution

It generalizes eight-dimensional ADHM instanton solutions to noncommutative spaces and relates them to D-brane bound states with specific B-field configurations.

Findings

Constructed classes of noncommutative instantons in eight dimensions.

Connected solutions to D0-D8 bound states with B-field.

Identified supersymmetry preservation conditions related to Sp(2) group.

Abstract

We construct some classes of instanton solutions of eight dimensional noncommutative ADHM equations generalizing the solutions of eight dimensional commutative ADHM equations found by Papadopoulos and Teschendorff, and interpret them as supersymmetric $D0$-$D8$ bound states in a NS $B$-field. Especially, we consider the $D0$-$D8$ system with anti-self-dual $B$-field preserving 3/16 of supercharges. This system and self-duality conditions are related with the group $Sp(2)$ which is a subgroup of the eight dimensional rotation group SO(8).