Giant magnons in TsT-transformed AdS_5 x S^5

TL;DR

This paper studies giant magnons in a gamma-deformed AdS_5 x S^5 background, showing that in certain limits the deformed and undeformed models share key properties, with gamma dependence manifesting mainly in level-matching conditions.

Contribution

It demonstrates that in the light-cone gauge and infinite J limit, the gamma-deformed background retains the same magnon dispersion relation and S-matrix as the undeformed case, highlighting the role of level-matching.

Findings

Deformed and undeformed models share the same dispersion relation in the infinite J limit.

Gamma dependence appears only through level-matching conditions.

Leading gamma dependence of the dispersion relation is determined for finite J giant magnons.

Abstract

We consider giant magnons propagating in a \gamma-deformed AdS_5 x S^5 background obtained from AdS_5 x S^5 by means of a chain of TsT transformations. We point out that in the light-cone gauge and in the infinite J limit the deformed and undeformed string models share the same magnon dispersion relation, the \su(2|2)\oplus \su(2|2)-invariant world-sheet S-matrix and the dressing factor. The \gamma-dependence in the limit is only due to different level-matching conditions. We consider the reduction of the deformed model to R x S^3 and determine the leading \gamma-dependence of the dispersion relation for a finite J giant magnon.