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The Two-exponential Liouville Theory and the Uniqueness of the Three-point Function

High Energy Physics - Theory 2009-10-31 v1

Abstract

It is shown that in the two-exponential version of Liouville theory the coefficients of the three-point functions of vertex operators can be determined uniquely using the translational invariance of the path integral measure and the self-consistency of the two-point functions. The result agrees with that obtained using conformal bootstrap methods. Reflection symmetry and a previously conjectured relationship between the dimensional parameters of the theory and the overall scale are derived.

Keywords

Cite

@article{arxiv.hep-th/0003247,
  title  = {The Two-exponential Liouville Theory and the Uniqueness of the Three-point Function},
  author = {L. O'Raifeartaigh and J. M. Pawlowski and V. V. Sreedhar},
  journal= {arXiv preprint arXiv:hep-th/0003247},
  year   = {2009}
}

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