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One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux

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arxiv 1411.4662 v2 pith:KRCLD2JQ submitted 2014-11-17 hep-th

Per Sundin , Linus Wulff This is my paper
classification hep-th
keywords dispersionmodesrelationmassivemasslesscalculationcomputecorrection
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute the one-loop worldsheet S-matrix for the superstring in AdS(3) x S(3) x T(4) supported by a combination of RR and NSNS flux in the massive sector. In the appropriate regularization scheme it agrees with the S-matrix found from symmetry considerations including the proposed dressing phases. As previously observed in other cases the massless modes decouple from the calculation of one-loop massive mode scattering. We also calculate the correction to the dispersion relation at two loops in the Near-Flat-Space limit and find agreement with a proposal for the form of the exact dispersion relation for the massive modes. Somewhat surprisingly the massless modes again decouple from the calculation (in a suitable regularization scheme). We also compute the correction to the dispersion relation for the massless modes and compare to a suggestion for the exact dispersion relation, finding a small discrepancy. The corresponding calculations for AdS(5) x S(5) and AdS(2) x S(2) x T(6) are used for comparison.

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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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