Giant magnons in TsT-transformed AdS_5 x S^5

Abstract

We consider giant magnons propagating in a γ-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 γ-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 γ-dependence of the dispersion relation for a finite J giant magnon.

21 pages; v2: minor corrections (missing 2πfactor inserted, inequalities corrected); 2 references added

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