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.
Integrable spin chain for stringy Wess-Zumino-Witten models
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abstract
Building on arXiv:1804.01998 we investigate the integrable structure of the Wess-Zumino-Witten (WZW) model describing closed strings on $AdS_3\times S^3\times T^4$. Using the recently-proposed integrable S matrix we show analytically that all wrapping corrections cancel and that the theory has a natural spin-chain interpretation. We construct the integrable spin chain and discuss its relation with the WZW description. Finally we compute the spin-chain spectrum in closed form and show that it matches the WZW prediction on the nose.
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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.