2003/11/22 by George Jorjadze, G. Weigt, Gerhard Weigt
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Random Matrices and Applications #hep-th
paper · pdf · doi:10.1016/j.physletb.2003.11.067
published as Phys.Lett. B581 (2004) 133-140 · 9 pages, LaTeX
arxiv created 2003/11/22 · openalex publication_date 2003/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
We calculate correlation functions for vertex operators with negative integer exponentials of a periodic Liouville field, and derive the general case by continuing them as distributions. The path-integral based conjectures of Dorn and Otto prove to be conditionally valid only. We formulate integral representations for the generic vertex operators and indicate structures which are related to the Liouville S-matrix.