TY - JOUR
T1 - Dynamical aspects on duality between SYM and NCOS from D2-F1 bound state
AU - Hyun, Seungjoon
AU - Shin, Hyeonjoon
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2002/4/1
Y1 - 2002/4/1
N2 - 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.
AB - 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.
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U2 - 10.1088/1126-6708/2002/04/044
DO - 10.1088/1126-6708/2002/04/044
M3 - Article
AN - SCOPUS:23044498067
VL - 6
SP - 1087
EP - 1101
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 4
ER -