  We construct the gravity dual of a field theory with flavour in which there
are Fayet-Iliopoulos (FI) terms present. For this purpose we turn on a constant
Kalb-Ramond B field in four internal space directions of AdS_5 x S^5 together
with a D7 brane probe wrapping AdS_5 x S^3. The B field induces
noncommutativity on the four internal directions of the D7 brane probe
perpendicular to the AdS boundary. We argue on general grounds that the moduli
space of the Higgs part of mixed Coulomb-Higgs states in the dual field theory
at the boundary is described by the ADHM equations for noncommutative
instantons on the four internal directions of the D7 brane probe. In
particular, the global symmetries match. The FI term arises as the holographic
dual of an anti-selfdual B field. We discuss possible applications for this
construction.
