Supersymmetric D-brane Bound States with B-field and Higher Dimensional Instantons on Noncommutative Geometry

TL;DR

This paper classifies supersymmetric D0-Dp bound states with B-fields using T-duality, revealing conditions for preserved supersymmetry and describing D0-branes as eight-dimensional noncommutative instantons, extending the ADHM construction.

Contribution

It introduces a classification of supersymmetric D0-Dp states with B-fields via T-duality and extends the ADHM construction to eight-dimensional noncommutative instantons.

Findings

D0-D8 system preserves specific fractions of supersymmetry under self-dual B-fields.

D0-branes are described by eight-dimensional instantons on noncommutative space.

Extended ADHM equations admit fuzzy sphere solutions.

Abstract

We classify supersymmetric D0-Dp bound states with a non-zero B-field by considering T-dualities of intersecting branes at angles. Especially, we find that the D0-D8 system with the B-field preserves 1/16, 1/8 and 3/16 of supercharges if the B-field satisfies the ``(anti-)self-dual'' condition in dimension eight. The D0-branes in this system are described by eight dimensional instantons on non-commutative R^8. We also discuss the extended ADHM construction of the eight-dimensional instantons and its deformation by the B-field. The modified ADHM equations admit a sort of the `fuzzy sphere' (embeddings of SU(2)) solution.