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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages

Scientific paper

10.1016/S0370-2693(02)01830-0

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).

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