Giant magnons in TsT-transformed AdS_5 x S^5

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1088/1126-6708/2008/07/071

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.

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