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.
Highlights
The study of the AdS=CFT correspondence [1,2,3] gave new energy to the search for exactly solvable string backgrounds
The best-understood integrable AdS background is AdS5 × S5 supported by Ramond-Ramond (R-R) five-form fluxes
Another important class of integrable backgrounds is given by AdS3 × S3 × T4 and AdS3 × S3 × S3 × S1 geometries supported by R-R and Neveu-SchwarzNeveu-Schwarz (NS-NS) three-form fluxes
Summary
The study of the AdS=CFT correspondence [1,2,3] gave new energy to the search for exactly solvable string backgrounds. The integrability approach to AdS5 × S5 superstrings can be extended to three- [21] and higher-point [22,23] correlation functions, and even to nonplanar corrections [24,25], though the treatment of wrapping corrections is less thoroughly understood in that context Another important class of integrable backgrounds is given by AdS3 × S3 × T4 and AdS3 × S3 × S3 × S1 geometries supported by R-R and Neveu-SchwarzNeveu-Schwarz (NS-NS) three-form fluxes. We analyze the AdS3 × S3 × T4 WZW model in uniform light-cone gauge [37,38,39], considering its classical bosonic Hamiltonian, its spectrum and its S matrix. Upcoming publication [47], as well as by commenting on several possible future directions
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