Spectral flow and the exact AdS$_3/$CFT$_2$ chiral ring
| Autor: | Iguri, Sergio, Kovensky, Nicolas, Toro, Julian H. |
|---|---|
| Přispěvatelé: | Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: |
High Energy Physics - Theory
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] FOS: Physical sciences multiplet chiral Mathematical Physics (math-ph) n-point function 3 holomorphic flow spectral High Energy Physics - Theory (hep-th) space-time string anti-de Sitter orbifold holography correlation function chiral ring field theory conformal Mathematical Physics |
| 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. 27 pages |
| Databáze: | OpenAIRE |
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