BPS Correlators for ${\text{AdS}}_3/{\text{CFT}}_2$

Abstract

The BPS correlators of the symmetric product orbifold ${\text{Sym}}_N({\mathbb{T}}^4)$ are reproduced from the dual worldsheet theory describing strings on ${\text{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$ with minimal ($k=1$) NS-NS flux. More specifically, we show that the worldsheet duals of the symmetric orbifold BPS states can be identified with their lift to the covering surface, thereby making the matching of the correlators essentially manifest. We also argue that the argument can be generalised to arbitrary descendants, using suitable DDF operators on the worldsheet.

arXiv comment18+2 pages, 1 figure

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Cited by in corpus (9)

• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• Perturbing the symmetric orbifold from the worldsheet
• Symmetries and Covering Maps for the Minimal Tension String on $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3\times {\mathbf{T}}^4$
• Worldsheet computation of heavy-light correlators
• DDF operators in the Hybrid Formalism
• Dynamical evolution in the D1D5 CFT
• String theory in twistor space and minimal tension holography
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality