Analytic continuation of 3-point functions of the conformal field theory

Vladimir S. Dotsenko

doi:10.1016/j.nuclphysb.2016.03.037

Analytic continuation of 3-point functions of the conformal field theory

High Energy Physics - Theory 2016-08-31 v2 Statistical Mechanics

Authors: Vladimir S. Dotsenko

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Abstract

It is shown that the general 3-point function $<\Phi_{a} \Phi_{b} \Phi_{c}>$ , with continuous values of charges $a, b, c$ of a statistical model operators, and the 3-point function of the Liouville model, could all be obtained by successive analytical continuations starting from the 3-point function of the minimal model.

Keywords

conformal field theory 3-point functions analytic continuation minimal model liouville model statistical model operators

Cite

@article{arxiv.1601.07840,
  title  = {Analytic continuation of 3-point functions of the conformal field theory},
  author = {Vladimir S. Dotsenko},
  journal= {arXiv preprint arXiv:1601.07840},
  year   = {2016}
}

Comments

57 pages, 7 figures, one reference added, minor typos corrected, agrees with the journal version

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