Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections

Details Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections

2008-07-17

arxiv.org/abs/0807.2861v3

Physics

High Energy Physics

High Energy Physics - Theory

v3: some misprints corrected

Scientific paper

We study giant magnon solutions in AdS4 \times CP3. We compute quantum corrections to their dispersion relation. We find out that the one--loop correction vanishes in infinite volume. This implies that the interpolating function h(\lambda) between strong and weak coupling regimes does not have a constant term \lambda^0 at strong coupling. We also compute first nonvanishing finite volume correction to the one--loop expression. When compared to the L\"{u}sher formula, our results could provide a nontrivial check of the AdS4 \times CP3 S--matrix proposed recently in arXiv:0807.1924.

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