On the semiclassical 3-point function in AdS_3

Abstract

We reconsider the problem of determining the semiclassical 3-point function in the Euclidean AdS_3 model. Exploiting the affine symmetry of the model we use solutions of the classical Knizhnik-Zamolodchikov (KZ) equation to compute the saddle point of the action in the presence of three vertex operators. This alternative derivation reproduces the "heavy charge" classical limit of the quantum 3-point correlator. It is different from the recently proposed expression obtained by generalised Pohlmeyer reduction in AdS_2

15 pages, harvmac TeX, v2: minor changes, references added; v3 identical to v2

References in corpus (6)

• Analytic Continuation of Liouville Theory
• Correlation functions in conformal Toda field theory I
• Correlation functions in conformal Toda field theory II
• Correlation functions of three heavy operators - the AdS contribution
• On holographic three point functions for GKP strings from integrability
• Semiclassical correlators of three states with large S^5 charges in string theory in AdS_5 x S^5

Cited by in corpus (2)

• HHL correlators, orbit averaging and form factors
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5