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The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)
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We compute the full one-loop 2-particle S-matrix for excitations of the type IIB AdS(3) x S(3) x T(4) BMN string. The S-matrix is found to respect the expected symmetries and the phases are consistent with the crossing equations. By analyzing how the relevant integrals scale with the IR regulator we show that scattering of massless bosons is trivial at two loops. Based on our results we argue that the additional su(2) S-matrix appearing in the massless sector in the exact solution should trivialize.
Forward citations
Cited by 2 Pith papers
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Exchange relations and crossing
Modified crossing equations for S-matrices with nontrivial braiding are proposed, and a new sign in the massless AdS3 crossing equation yields a simpler dressing factor.
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Dressing Factors and Mirror Thermodynamic Bethe Ansatz for mixed-flux AdS3/CFT2
Massless dressing factors for the mixed-flux AdS3xS3xT4 S-matrix are completed from the massive ones, checked against all symmetries and tree-level perturbation theory, and used to propose mirror TBA equations.
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