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.
Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
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abstract
We introduce a uniform light-cone gauge for strings propagating in AdS space-time. We use the gauge to analyze strings from the su(1|1) sector, and show that the reduced model is described by a quadratic action for two complex fermions. Thus, the uniform light-cone gauge allows us to solve the model exactly. We analyze the near BMN spectrum of states from the su(1|1) sector and show that it correctly reproduces the 1/J corrections. We also compute the spectrum in the strong coupling limit, and derive the famous \lambda^{1/4} asymptotics. We then show that the same string spectrum can be also derived by solving Bethe ansatz type equations, and discuss their relation to the quantum string Bethe ansatz for the su(1|1) sector.
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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.