String correlators on ${\text{AdS}}_3$: Four-point functions

Abstract

We propose a closed-form formula for genus 0 four-point functions in ${\text{AdS}}_3$ string theory with pure NS-NS flux including arbitrary amounts of spectral flow. Our formula passes many non-trivial consistency checks and has intriguing connections to Hurwitz theory. This paper is the second in a series with several instalments.

arXiv comment33 + 12 pages

References in corpus (36)

• The D1/D5 System And Singular CFT
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• More Comments on String Theory on AdS_3
• Strings from Tachyons
• The Worldsheet Dual of the Symmetric Product CFT
• On structure constants and fusion rules in the $SL(2,\BC)/SU(2)$ WZNW model
• JT gravity as a matrix integral
• Operator product expansion and factorization in the $H_3^{+}$-WZNW model
• Towards Feynman rules for Mellin amplitudes in AdS/CFT
• String Theory in Two Dimensions
• H(3)+ correlators from Liouville theory
• Superstrings on AdS3 at k=1
• The No-ghost Theorem for AdS_3 and the Stringy Exclusion Principle
• Aspects of Scattering Amplitudes and Moduli Space Localization
• Worldsheet correlators in AdS(3)/CFT(2)
• String theory on ${\text{AdS}}_3$ and the symmetric orbifold of Liouville theory
• H^+_3 WZNW model from Liouville field theory
• Knizhnik-Zamolodchikov equations and spectral flow in AdS3 string theory
• Crossing Symmetry in the $H_3^{+}$ WZNW model
• Exact N=4 correlators of AdS(3)/CFT(2)
• Three-point functions and operator product expansion in the SL(2) conformal field theory
• D-instantons, String Field Theory and Two Dimensional String Theory
• The Worldsheet Dual of Free Super Yang-Mills in 4D
• Monodromy of solutions of the Knizhnik-Zamolodchikov equation: SL(2,C)/SU(2) WZNW model
• Coulomb integrals for the SL(2,R) WZNW model
• Three-point functions in superstring theory on AdS3xS3xT4
• Worldsheet four-point functions in AdS(3)/CFT(2)
• Fusion rules and four-point functions in the AdS3 WZNW model
• More AdS_3 correlators
• On Spectral Flow Symmetry and Knizhnik-Zamolodchikov Equation
• Violating the string winding number maximally in Anti-de Sitter space
• ZZ Instantons and the Non-Perturbative Dual of c = 1 String Theory
• Multi-Instanton Calculus in c = 1 String Theory
• One-loop amplitudes of winding strings in AdS${}_3$ and the Coulomb gas approach
• A note on the spectral flow operator
• The physical states of the Hybrid Formalism

Cited by in corpus (4)

• A localising AdS${}_3$ sigma model
• String correlators in AdS${}_3$ from FZZ duality
• The physical states of the Hybrid Formalism
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality