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.

UR - http://www.scopus.com/inward/record.url?scp=23044498067&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044498067&partnerID=8YFLogxK

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 -