Spectral flow and the exact AdS(3)/CFT2 chiral ring

We compute all worldsheet three-point functions involving spectrally-flowed operators in chiral multiplets of the space-time theory for strings in AdS(3)xS(3)xT(4), thus completing the analysis of the full AdS(3)/CFT2 chiral ring. We make use of techniques recently developed for the bosonic sector, based on holomorphic covering maps from the worldsheet to the AdS(3) boundary. We highlight the role of the so-called series identifications when dealing with the complications originated by picture-changing spectrally-flowed states. We find an exact agreement with the predictions from the holographic CFT at the symmetric orbifold point.

Automated summary

We compute the worldsheet three-point functions of spectrally-flowed operators in chiral multiplets of the space-time theory for strings in AdS(3)xS(3)xT(4), completing the analysis of the full AdS(3)/CFT2 chiral ring. We utilize techniques recently developed for the bosonic sector, which involve holomorphic covering maps from the worldsheet to the AdS(3) boundary. We emphasize the importance of series identifications in dealing with complications arising from picture-changing spectrally-flowed states. We obtain an exact agreement with the predictions from the holographic CFT at the symmetric orbifold point.