Finite size giant magnons and interactions

Abstract

Magnon interactions give important contributions to the wrapping interactions of the N=4 spin-chain. Similar effects are expected for the finite size corrections to the giant magnon energy in AdS_5 x S^5. In this paper I review the finite gap description of giant magnons and the leading order calculation of the finite size corrections to the giant magnon dispersion relation for multi-magnon states.

10 pages; Presented at the XLVIII Cracow School of Theoretical Physics, "Aspects of Duality", Zakopane, Poland, June 13-22, 2008; v2: references added

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