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arxiv: 1611.09992 · v2 · pith:7QVJY7BNnew · submitted 2016-11-30 · ✦ hep-th

Finite-size effect of η-deformed AdS₅ x S⁵ at strong coupling

classification ✦ hep-th
keywords eta-deformedcouplingeffectfinite-sizeq-invariants-matrixstrongbackground
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We compute Luscher corrections for a giant magnon in the \eta-deformed (AdS_5\times S^5)_{\eta} using the su(2|2)_q-invariant S-matrix at strong coupling and compare with the finite-size effect of the corresponding string state, derived previously. We find that these two results match and confirm that the su(2|2)_q-invariant S-matrix is describing world-sheet excitations of the \eta-deformed background.

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