Finite-size effects of membranes on AdS 4 × S 7

Changrim Ahn, P. Bozhilov

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


We consider semi-classical solutions of membranes on the AdS 4 × S 7 background. This is supposed to be dual to the = 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.

Original languageEnglish
Article number054
JournalJournal of High Energy Physics
Issue number8
StatePublished - 1 Aug 2008


  • AdS-CFT correspondence
  • M-Theory


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