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

Autor:	Iguri, Sergio, Kovensky, Nicolas, Toro, Julian H.
Rok vydání:	2023
Předmět:	High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.08361 Zobrazit plný text záznamu View this record from Arxiv