More AdS_3 correlators

Abstract

We compute three-point functions for the $SL(2,\mathbb{R})$-WZNW model. After reviewing the case of the two-point correlator, we compute spectral flow preserving and nonpreserving correlation functions in the space-time picture involving three vertex operators carrying an arbitrary amount of spectral flow. When only one or two insertions have nontrivial spectral flow numbers, the method we employ allows us to find expressions without any constraint on the spin values. Unlike these cases, the same procedure restrains the possible spin configurations when three vertices belong to nonzero spectral flow sectors. We perform several consistency checks on our results. In particular, we verify that they are in complete agreement with previously computed correlators involving states carrying a single unit of spectral flow.

22 pages. Minor changes. Some references added

References in corpus (3)

• Coulomb integrals for the SL(2,R) WZNW model
• Fusion rules and four-point functions in the AdS3 WZNW model
• Four Point Functions in the SL(2,R) WZW Model

Cited by in corpus (9)

• A perturbative CFT dual for pure NS-NS AdS${}_3$ strings
• String correlators on ${\text{AdS}}_3$: Three-point functions
• String correlators on ${\text{AdS}}_3$: Analytic structure and dual CFT
• Worldsheet computation of heavy-light correlators
• A proof for string three-point functions in AdS${}_3$
• On spectrally flowed local vertex operators in AdS${}_3$
• String correlators on ${\text{AdS}}_3$: Four-point functions
• The $Ad{S}_3\times S^1$ Chiral Ring
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality