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Strings on NS-NS Backgrounds as Integrable Deformations

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arxiv 1804.01998 v2 pith:JUAOD72G submitted 2018-04-05 hep-th

classification hep-th
keywords integrablematrixns-nsads3xs3xt4ansatzarguearisingbackground
verification ladder T0 review T1 audit T2 compute T3 formal

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We consider the worldsheet S matrix of superstrings on an AdS3xS3xT4 NS-NS background in uniform light-cone gauge. We argue that scattering is given by a CDD factor that is non-trivial only between opposite-chirality particles, yielding a spin-chain-like Bethe Ansatz. Our proposal reproduces the spectrum of non-protected states computed from the Wess-Zumino-Witten description and the perturbative tree-level S matrix. This suggests that the model is an integrable deformation of a free theory similar to those arising from the T-Tbar composite operator.

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Cited by 5 Pith papers

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

  1. Tree-level S matrix for $\lambda$-deformed AdS3 strings

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    For the λ-deformed AdS3×S3×T4 superstring, the tree-level bosonic worldsheet S matrix is purely elastic for 0≤λ<1, confirming integrability, and ill-defined at λ→1, so that limit does not capture T-dual worldsheet dynamics.

  2. On the $AdS_3\times S^3\times S^3\times S^1$ dressing factors

    hep-th 2025-12 unverdicted novelty 7.0 of 10

    Dressing factors are proposed for the S-matrix of massive worldsheet excitations in AdS3×S3×S3×S1 with mixed RR/NSNS flux that satisfy crossing, unitarity, and reproduce perturbative results for any radius ratio.

  3. Interpolating families of integrable AdS3 backgrounds

    hep-th 2025-02 accept novelty 7.0 of 10

    New TsT-based integrable deformations interpolate between AdS3×S3×S3×S1 and AdS3×S3×S2×T2 or AdS3×S2×S2×T3 while preserving half the supersymmetry.

  4. 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.

  5. $T\bar{T}$ deformations as TsT transformations

    hep-th 2019-08 conditional novelty 6.0 of 10

    T\bar{T} deformations of string worldsheet theories are equivalent to TsT transformations in the T-dual static-gauge frame, with the T\bar{T} CDD factor realized as a Drinfel'd-Reshetikhin twist of the S-matrix.

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