Exact chiral ring of AdS(3)/CFT(2)

Abstract

We carry out an exact worldsheet computation of tree level three-point correlators of chiral operators in string theory on AdS(3) x S^3 x T^4 with NS-NS flux. We present a simple representation for the string chiral operators in the coordinate basis of the dual boundary CFT. Striking cancelations occur between the three-point functions of the H3+ and the SU(2) WZW models which result in a simple factorized form for the final correlators. We show, by fixing a single free parameter in the H3+ WZW model, that the fusion rules and the structure constants of the N=2 chiral ring in the bulk are in precise agreement with earlier computations in the boundary CFT of the symmetric product of T^4 at the orbifold point in the large N limit.

47 pages, JHEP style. v2:references added, minor changes. v3:references added

References in corpus (30)

• The Black Hole in Three Dimensional Space Time
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• AdS3 Black Holes and a Stringy Exclusion Principle
• The D1/D5 System And Singular CFT
• Anti-de Sitter Fragmentation
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• 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 in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• On structure constants and fusion rules in the $SL(2,\BC)/SU(2)$ WZNW model
• Field Theory Tests for Correlators in the AdS/CFT Correspondence
• Operator product expansion and factorization in the $H_3^{+}$-WZNW model
• Gravity from CFT on $S^N(X)$ CFT: Symmetries and Interactions
• The No-ghost Theorem for AdS_3 and the Stringy Exclusion Principle
• Four graviton scattering amplitude from $S^N{\mathbf{R}}^8$ supersymmetric orbifold sigma model
• On the Three-point Function in Minimal Liouville Gravity
• More on correlators and contact terms in {\cal N}=4 SYM at order g^4
• D1/D5 Moduli in SCFT and Gauge Theory, and Hawking Radiation
• Little String Theory and Heterotic/Type II Duality
• Correlators of Short Multi-Trace Operators in N=4 Supersymmetric Yang-Mills
• Cubic couplings in D=6 N=4b supergravity on AdS_3\times S^3
• Non-Rational 2D Quantum Gravity: I. World Sheet CFT
• Matrix Models of AdS Gravity
• $A_1^{(1)}$ Admissible Representations -- Fusion Transformations and Local Correlators
• Correlation functions for chiral primaries in D=6 Supergravity on $Ad{S}_3\times S^3$
• Liouville theory without an action
• FZZ Algebra
• FZZ Scattering
• The BRST quantization and the no-ghost theorem for AdS_3
• Strings on Plane Waves and AdS x S