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Liouville theory without an action

2006/01/31 by Ari Pakman · 4 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th

paper · pdf · doi:10.1016/j.physletb.2006.09.064

published as Phys.Lett.B642:263-269,2006 · 9 pages

arxiv created 2006/06/08 · openalex publication_date 2006/10/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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