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arXiv · 1204.1322

On the semiclassical 3-point function in AdS_3

P. Bozhilov·P. Furlan·V. B. Petkova·M. Stanishkov
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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

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P. Bozhilov, P. Furlan, V. B. Petkova, M. Stanishkov. 2012-05-04. On the semiclassical 3-point function in AdS_3. https://doi.org/10.1103/physrevd.86.066005

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