English

On the semiclassical 3-point function in AdS_3

High Energy Physics - Theory 2015-03-20 v3

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

Cite

@article{arxiv.1204.1322,
  title  = {On the semiclassical 3-point function in AdS_3},
  author = {P. Bozhilov and P. Furlan and V. B. Petkova and M. Stanishkov},
  journal= {arXiv preprint arXiv:1204.1322},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T20:45:25.945Z