String correlators in AdS${}_3$ from FZZ duality

Abstract

Motivated by recent works in which the FZZ duality plays an important role, we revisit the computation of correlation functions in the sine-Liouville field theory. We present a direct computation of the three-point function, the simplest to the best of our knowledge, and give expressions for the $N$-point functions in terms of integrated Liouville theory correlators. This leads us to discuss the relation to the $H_3^{+}$ WZW-Liouville correspondence, especially in the case in which spectral flow is taken into account. We explain how these results can be used to study scattering amplitudes of winding string states in AdS${}_3$.

24 pages. v2, minor modifications; typos corrected, one more figure, comments and references added

References in corpus (9)

• H^+_3 WZNW model from Liouville field theory
• String correlators on ${\text{AdS}}_3$: Three-point functions
• String scale black holes at large $D$
• Multipoint correlation functions in Liouville field theory and minimal Liouville gravity
• The Nothing at the Beginning of the Universe Made Precise
• Stringy horizons and generalized FZZ duality in perturbation theory
• String correlators on ${\text{AdS}}_3$: Four-point functions
• ${\text{AdS}}_3/{\text{CFT}}_2$ at higher genus
• Asymptotically Free AdS3/CFT2

Cited by in corpus (2)

• A duality in string theory on AdS${}_3$
• 2D quantum gravity partition function on the fluctuating sphere