Comment on three-point function in AdS(3)/CFT(2)

Abstract

Recently, exact agreement has been found between bulk and boundary three-point functions in AdS_3 x S^3 x T^4 with NSNS fluxes. This represents a non-trivial check of AdS/CFT correspondence beyond the supergravity approximation as it corresponds to an exact worldsheet computation. When taking a closer look at this computation, one notices that a crucial point for the bulk-boundary agreement to hold is an intriguing mutual cancellation between worldsheet contributions corresponding to the AdS_3 and to the S^3 pieces of the geometry, what results in a simple factorized form for the final three-point function. In this note we review this cancellation and clarify some points about the analytic relation between the SU(2) and the SL(2,R) structure constants. In particular, we dicuss the connection to the Coulomb gas representation. We also make some comments on the four-point function.

21 pages. Version accepted for publication

References in corpus (5)

• Worldsheet correlators in AdS(3)/CFT(2)
• Matching of correlators in AdS_3/CFT_2
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• Exact N=4 correlators of AdS(3)/CFT(2)
• Spectral Flow in AdS(3)/CFT(2)

Cited by in corpus (7)

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• Comments on the $S_N$ orbifold CFT in the large $N$-limit
• On the timelike Liouville three-point function
• On AGT description of N=2 SCFT with N_f=4
• More AdS_3 correlators
• On non-homogeneous tachyon condensation in closed string theory