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

TL;DR

This paper studies finite-size giant magnons in a deformed AdS_4 x CP^3 background, revealing how the deformation parameter b3 influences their dispersion relation, thus providing insights into the dual deformed super Chern-Simons-matter theory.

Contribution

It introduces the analysis of finite-size effects on giant magnons in a b3-deformed AdS_4 x CP^3 background, highlighting the b3 dependence of the dispersion relation.

Findings

Finite-size effects are modified by the b3 deformation.

The dispersion relation acquires explicit b3 dependence.

Results deepen understanding of integrability in deformed AdS/CFT correspondence.

Abstract

We investigate finite-size giant magnons propagating on \gamma-deformed AdS_4 x CP^3_{\gamma} type IIA string theory background, dual to one parameter deformation of the N=6 super Chern-Simoms-matter theory. Analyzing the finite-size effect on the dispersion relation, we find that it is modified compared to the undeformed case, acquiring \gamma dependence.