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

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).

13 pages

References in corpus (3)

• Supersymmetry, Spectrum and Fate of D0-Dp Systems with B-field
• Moduli Space and Scattering of D0-Branes in Noncommutative Super Yang-Mills Theory
• Supersymmetric D-brane Bound States with B-field and Higher Dimensional Instantons on Noncommutative Geometry

Cited by in corpus (6)

• BPS equations in Six and Eight Dimensions
• ADHM is Tachyon Condensation
• Noncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory
• Noncommutative Instantons in Diverse Dimensions
• BPS Solutions of Noncommutative Gauge Theories in Four and Eight Dimensions
• On the Moyal deformation of Nahm Equations in seven dimensions