Dynamical aspects on duality between SYM and NCOS from D2-F1 bound state

It has been shown that (2 + 1)-dimensional N = 8 super Yang-Mills (SYM) theory with electric flux is related to (2 + 1)-dimensional non-commutative open string (NCOS) theory by "2 - 11" flip. This implies that the instanton process in SYM theory, which corresponds to D0-brane exchange(M-momentum transfer) between D2-branes, is dual to the KK momentum exchange in NCOS theory, which is perturbative process in nature. In order to confirm this, we obtain the effective action of probe M2-brane on the background of tilted M2-branes, which would correspond to the one-loop effective action of SYM theory with non-perturbative instanton corrections. Then we consider the dual process in NCOS theory, which is the scattering amplitude of the wound graviton off the D2-F1 bound state involving KK-momentum transfer in x ²-direction. Both of them give the same interaction terms. Remarkably they also have the same behavior on the non-trivial velocity dependence. All these strongly support the duality between those two theories with completely different nature.