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Supersymmetric D-brane bound states with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>field and higher dimensional instantons on noncommutative geometry

Supersymmetric D-brane bound states with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>field and higher dimensional instantons on noncommutative geometry

We classify supersymmetric $\mathrm{D}0\ensuremath{-}\mathrm{Dp}$ bound states with a nonzero 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 8. The D0-branes …