English

Giant magnons in TsT-transformed AdS_5 x S^5

High Energy Physics - Theory 2009-12-07 v2

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.

Keywords

Cite

@article{arxiv.0805.1070,
  title  = {Giant magnons in TsT-transformed AdS_5 x S^5},
  author = {Dmitri V. Bykov and Sergey Frolov},
  journal= {arXiv preprint arXiv:0805.1070},
  year   = {2009}
}

Comments

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