Supergravity dual of noncommutative N=1 SYM Original Research Article

We construct the noncommutative deformation of the Maldacena–Núñez supergravity solution. The background describes a bound state of D5–D3 branes wrapping an S2 inside a Calabi–Yau three-fold, and in the presence of a magnetic B-field. The dual field theory in the IR is an N=1 U(N) SYM theory with spatial noncommutativity. We show that, under certain conditions, the massive Kaluza–Klein states can be decoupled and that UV/IR mixing seems to be visible in our solution. By calculating the quark–antiquark potential via the Wilson loop we show confinement in the IR and strong repulsion at closer distances. We also compute the β-function and show that it coincides with the recently calculated commutative one.