Finite-size effects of membranes on AdS4 x S7

被引:21
作者
Ahn, Changrim [1 ]
Bozhilov, P. [1 ]
机构
[1] Ewha Womans Univ, Dept Chem, DaeHyun 11-1, Seoul 120750, South Korea
关键词
AdS-CFT correspondence; M-theory;
D O I
10.1088/1126-6708/2008/08/054
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We consider semi-classical solutions of membranes on the AdS(4) x S-7 background. This is supposed to be dual to the N = 6 super Chern-Simons theory with k = 1 in a planar limit recently proposed by Aharony, Bergmann, Jafferis, and Maldacena (ABJM). We have identified giant magnon and single spike states on the membrane by reducing them to the Neumamm-Rosochatius integrable system. We also connect these to the complex sine-Gordon integrable model. Based on this approach, we find finite-size membrane solutions and obtain their images in the complex sine-Gordon system along with the leading finite-size corrections to the energy-charge relations.
引用
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页数:21
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