Correlators in AdS_3 string theory

Abstract

The computation of two and three point functions in the Coulomb gas free field approach to string theory in the SL(2,R)/U(1) black hole background is reviewed. An interesting relation arises when comparing the results obtained using two different screening operators. The formalism is then modified to study string theory propagating in AdS${}_3$ which is considered as the direct product of the SL(2)/U(1) coset times a timelike free boson. This representation allows to naturally include the spectral flow symmetry and winding number in vertex operators and correlation functions. Two and three point tachyon amplitudes are computed in this new scenario and the results coincide with previous reports in the literature. Novel expressions are found for processes violating winding number conservation.

25 pages; v2: typos corrected and references added; v3: minor changes

Cited by in corpus (62)

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• The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
• A perturbative CFT dual for pure NS-NS AdS${}_3$ strings
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• Knizhnik-Zamolodchikov equations and spectral flow in AdS3 string theory
• D-branes in N=2 Liouville and its mirror
• Spectral Flow in AdS(3)/CFT(2)
• The Spectrum of Strings on Warped AdS_3 x S^3
• Non-compact String Backgrounds and Non-rational CFT
• String correlators on ${\text{AdS}}_3$: Three-point functions
• Three-point functions and operator product expansion in the SL(2) conformal field theory
• Three-point functions in AdS${}_3$/CFT${}_2$ holography
• String correlators on ${\text{AdS}}_3$: Analytic structure and dual CFT
• Fundamental Superstrings as Holograms
• Coulomb integrals for the SL(2,R) WZNW model
• Stringy Black Hole Interiors
• String amplitudes in the Hpp-wave limit of AdS3xS3
• Correlation functions of symmetric orbifold from AdS${}_3$ string theory
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• Operator product expansion in SL(2) conformal field theory
• Stringy Horizons and UV/IR Mixing
• The String Theory on AdS_3 as a Marginal Deformation of a Linear Dilaton Background
• Violating the string winding number maximally in Anti-de Sitter space
• Worldsheet computation of heavy-light correlators
• Boundary action of the H3+ model
• Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model
• c < 1 String from Two Dimensional Black Holes
• Notes on the Verlinde formula in non-rational conformal field theories
• Free field realization of superstring theory on AdS3
• Instant Folded Strings and Black Fivebranes
• A stringy glimpse into the black hole horizon
• Comment on three-point function in AdS(3)/CFT(2)
• One-loop amplitudes of winding strings in AdS${}_3$ and the Coulomb gas approach
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• On the black hole interior in string theoy
• Zamolodchikov relations and Liouville hierarchy in SL(2,R)_k WZNW model
• A note on the spectral flow operator
• Langlands duality in Liouville-H_3^+ WZNW correspondence
• On the Stringy Hartle-Hawking State
• Winding Strings in AdS_3
• String correlators in AdS${}_3$ from FZZ duality
• Zamolodchikov operator-valued relations for SL(2,R)_k WZNW model
• Topological String on OSP(1|2)/U(1)
• Scattering of low lying states in the black hole atmosphere
• Stringy horizons and generalized FZZ duality in perturbation theory
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• A Note on Z_2 Symmetries of the KZ Equation
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• Three-Point Function in Perturbed Liouville Gravity
• The $Ad{S}_3\times S^1$ Chiral Ring
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• Notes on the SL(2,R) CFT
• Conformal field theories from deformations of theories with $W_n$ symmetry
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality