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Strings on NS-NS Backgrounds as Integrable Deformations
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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.
Forward citations
Cited by 5 Pith papers
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Tree-level S matrix for $\lambda$-deformed AdS3 strings
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.
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On the $AdS_3\times S^3\times S^3\times S^1$ dressing factors
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.
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Interpolating families of integrable AdS3 backgrounds
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.
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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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$T\bar{T}$ deformations as TsT transformations
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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