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Liouville theory without an action

High Energy Physics - Theory 2008-11-26 v2

Abstract

We show that the crossing symmetry of the four-point function in the Liouville conformal field theory on the sphere contains more information than what was hitherto considered. Under certain assumptions, it provides the special structure constants that were previously computed perturbatively and allows to solve the theory without using the Liouville interaction.

Cite

@article{arxiv.hep-th/0601197,
  title  = {Liouville theory without an action},
  author = {Ari Pakman},
  journal= {arXiv preprint arXiv:hep-th/0601197},
  year   = {2008}
}

Comments

9 pages

R2 v1 2026-07-22T15:34:30.548Z