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We investigate finite-size giant magnons propagating on \gamma-deformed AdS_4x CP^3_{\gamma} type IIA string theory background, dual to one parameterdeformation of the N=6 super Chern-Simoms-matter theory. Analyzing thefinite-size effect on the dispersion relation, we find that it is modifiedcompared to the undeformed case, acquiring \gamma dependence.

Finite-size Giant Magnons on AdS_4 x CP^3_{\gamma}