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The AdS(n) x S(n) x T(10-2n) BMN string at two loops

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arxiv 1508.04313 v3 pith:3BXQCJ76 submitted 2015-08-18 hep-th

classification hep-th
keywords masslessmodesphasecorrectiondispersionloopsrelationresult
verification ladder T0 review T1 audit T2 compute T3 formal
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We calculate the two-loop correction to the dispersion relation for worldsheet modes of the BMN string in AdS(n) x S(n) x T(10-2n) for n=2,3,5. For the massive modes the result agrees with the exact dispersion relation derived from symmetry considerations with no correction to the interpolating function h. For the massless modes in AdS(3) x S(3) x T(4) however our result does not match what one expects from the corresponding symmetry based analysis. We also derive the S-matrix for massless modes up to the one-loop order. The scattering phase is given by the massless limit of the Hernandez-Lopez phase. In addition we compute a certain massless S-matrix element at two loops and show that it vanishes suggesting that the two-loop phase in the massless sector is zero.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exchange relations and crossing

    hep-th 2025-06 conditional novelty 7.0 of 10

    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.

  2. Dressing Factors and Mirror Thermodynamic Bethe Ansatz for mixed-flux AdS3/CFT2

    hep-th 2025-07 conditional novelty 6.0 of 10

    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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