Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-02-27
JHEP 0204 (2002) 044
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, latex2e, 2 figures; v2 : Improved version with corrections in eq. (33) and other minor corrections. One reference ad
Scientific paper
10.1088/1126-6708/2002/04/044
It has been shown that (2+1)-dimensional N=8 super Yang-Mills (SYM) theory with electric flux is related to (2+1)- dimensional noncommutative 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 nontrivial velocity dependence. All these strongly support the duality between those two theories with completely different nature.
Hyun Seungjoon
Shin Hyeonjoon
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