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arXiv · 0807.0566

Finite-size effects of Membranes on AdS_4 x S_7

Changrim Ahn·P. Bozhilov
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Abstract

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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Changrim Ahn, P. Bozhilov. 2008-07-13. Finite-size effects of Membranes on AdS_4 x S_7. https://doi.org/10.1088/1126-6708%2F2008%2F08%2F054

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