Intersecting noncommutative D-branes and baryons in magnetic fields

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-1)-brane, as well as over (p-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 Sifter conformal field theory correspondence.