Liouville theory without an action

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages

Scientific paper

10.1016/j.physletb.2006.09.064

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.

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