Greybody factor for D3-branes in B field

We calculate the effect of noncommutative spacetime on the greybody factor on the supergravity side. For this purpose we introduce a system of D3-branes with a constant NS $B$-field along their world volume directions ($x_2,x_3$). Considering the propagation of minimally coupled scalar with non-zero momentum along($x_2,x_3$), we derive an exact form of the greybody factor in $B$ field. It turns out that ${\sigma }_l^{B\mathrm{\ne }0}>{\sigma }_l^{B=0}$. This means that the presence of $B$-field (the noncommutativity) suppresses the potential barrier surrounding the black hole. As a result, it comes out the increase of greybody factor.