TY - JOUR
T1 - M2-brane perspective on N = 6 super Chern-Simons theory at level k
AU - Ahn, Changrim
AU - Bozhilov, P.
PY - 2008
Y1 - 2008
N2 - Recently, O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena (ABJM) proposed three-dimensional super Chern-Simons-matter theory, which at level k is supposed to describe the low energy limit of N M2-branes. For large N and k, but fixed 't Hooft coupling λ = N/k, it is dual to type IIA string theory on AdS4 × 3. For large N but finite k, it is dual to M theory on AdS4 × S7/Zk. In this paper, relying on the second duality, we find exact giant magnon and single spike solutions of membrane configurations on AdS4 × S 7/Zk by reducing the system to the Neumann-Rosochatius integrable model. We derive the dispersion relations and their finite-size corrections with explicit dependence on the level k.
AB - Recently, O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena (ABJM) proposed three-dimensional super Chern-Simons-matter theory, which at level k is supposed to describe the low energy limit of N M2-branes. For large N and k, but fixed 't Hooft coupling λ = N/k, it is dual to type IIA string theory on AdS4 × 3. For large N but finite k, it is dual to M theory on AdS4 × S7/Zk. In this paper, relying on the second duality, we find exact giant magnon and single spike solutions of membrane configurations on AdS4 × S 7/Zk by reducing the system to the Neumann-Rosochatius integrable model. We derive the dispersion relations and their finite-size corrections with explicit dependence on the level k.
KW - AdS-CFT correspondence
KW - M-theory
UR - http://www.scopus.com/inward/record.url?scp=62649088564&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2008/12/049
DO - 10.1088/1126-6708/2008/12/049
M3 - Article
AN - SCOPUS:62649088564
SN - 1126-6708
VL - 2008
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 12
M1 - 049
ER -