Finite-size effects of Membranes on AdS_4 x S_7

Details Finite-size effects of Membranes on AdS_4 x S_7 Finite-size effects of Membranes on AdS_4 x S_7

2008-07-03

arxiv.org/abs/0807.0566v2

JHEP 0808:054,2008

Physics

High Energy Physics

High Energy Physics - Theory

References added, typos fixed, acknowledgement added; 25 pages

Scientific paper

10.1088/1126-6708/2008/08/054

We consider semi-classical solution of membranes on the AdS_4 x S^7. 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.

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