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arXiv · 2304.08361

Spectral flow and the exact AdS$_3/$CFT$_2$ chiral ring

Sergio Iguri·Nicolas Kovensky·Julian H. Toro
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Abstract

We compute all worldsheet three-point functions involving spectrally-flowed operators in chiral multiplets of the space-time theory for strings in AdS$_3\times$S$^3\times$T$^4$, thus completing the analysis of the full AdS$_3$/CFT$_2$ 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, including both extremal and non-extremal correlators.

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Sergio Iguri, Nicolas Kovensky, Julian H. Toro. 2023-04-17. Spectral flow and the exact AdS$_3/$CFT$_2$ chiral ring. https://arxiv.org/abs/2304.08361

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