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Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase

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arxiv 1211.6090 v3 pith:3T7SVGJ7 submitted 2012-11-26 hep-th

M. Beccaria , F. Levkovich-Maslyuk , G. Macorini , A. A. Tseytlin This is my paper · ORCID
classification hep-th
keywords phasecasecorrectionstringdressingfindquantumalgebraic
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We study the leading quantum string correction to the dressing phase in the asymptotic Bethe Ansatz system for superstring in AdS_3 x S^3 x T^4 supported by RR flux. We find that the phase should be different from the BES phase appearing in the AdS_5 x S^5 case. We use the simplest example of a rigid circular string with two equal spins in S^3 and also consider the general approach based on the algebraic curve description. We also discuss the case of the AdS_3 x S^3 x S^3 x S^1 theory and find the dependence of the 1-loop correction to the effective string tension function h(\lambda) (expected to enter the magnon dispersion relation) on the parameters alpha related to the ratio of the two 3-sphere radii. This correction vanishes in the AdS_3 x S^3 x T^4 case.

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Cited by 3 Pith papers

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  1. $AdS_3 \times S^3$ Virasoro-Shapiro amplitude with KK modes

    hep-th 2025-08 conditional novelty 7.0 of 10

    The first curvature correction to the AdS3 x S3 Virasoro-Shapiro amplitude for four arbitrary KK modes is obtained as a single-valued polylogarithm worldsheet integral, yielding new anomalous dimensions and OPE data f...

  2. Boundary Bethe ansatz in massive $AdS_3$

    hep-th 2025-06 conditional novelty 6.0 of 10

    The authors derive universal auxiliary Bethe equations and transfer-matrix eigenvalues for massive representations of the AdS3xS3xT4 integrable string with singlet and vector boundaries.

  3. The AdS$_3\times $S$^3$ Virasoro-Shapiro amplitude with RR flux

    hep-th 2024-12 conditional novelty 6.0 of 10

    The first AdS curvature correction to the AdS3 x S3 Virasoro-Shapiro amplitude is fixed by matching an SVMPL worldsheet ansatz to the CFT block expansion, yielding new strong-coupling CFT data.

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