For 0 ≤ λ < 1 the bosonic tree-level S-matrix of λ-deformed AdS3 strings remains integrable via cancellation of non-elastic processes, but becomes ill-defined as λ → 1 even though the geometry matches the non-Abelian T-dual.
Strings on NS-NS Backgrounds as Integrable Deformations
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abstract
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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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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Tree-level S matrix for $\lambda$-deformed AdS3 strings
For 0 ≤ λ < 1 the bosonic tree-level S-matrix of λ-deformed AdS3 strings remains integrable via cancellation of non-elastic processes, but becomes ill-defined as λ → 1 even though the geometry matches the non-Abelian T-dual.
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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.