Abstract
We study supersymmetric intersecting configurations of D-branes with B-field backgrounds. Noncommutative D-brane or M-brane pairs can intersect supersymmetrically over a $(p\ensuremath{-}1)$-brane, as well as over $(p\ensuremath{-}2)$-brane-like ordinary branes. $d=10$ and $d=11$ supergravity solutions are obtained and the supersymmetry projection rule is examined. As an application we study a noncommutative D7-brane probe in a noncommutative D3-brane background, intersecting at a noncommutative plane, which describes Bogomol'nyi--Prasad--Sommerfield baryons of noncommutative gauge theory in the context of anti--de Sitter conformal field theory correspondence.
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