Geodesic
Multipoint correlation functions in Liouville field theory and minimal
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 3, pp. 536-556

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We study $(n+3)$-point correlation functions of exponential fields in the Liouville field theory with $n$ degenerate and three arbitrary fields and derive an analytic expression for these correlation functions in terms of Coulomb integrals. We consider the application of these results to the minimal Liouville gravity.
Keywords: conformal field theory, integrable model, Liouville theory, noncritical string theory. 
@article{TMF_2008_154_3_a7,
     author = {V. A. Fateev and A. V. Litvinov},
     title = {Multipoint correlation functions in {Liouville} field theory and minimal},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {536--556},
     publisher = {mathdoc},
     volume = {154},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_3_a7/}
}
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V. A. Fateev; A. V. Litvinov. Multipoint correlation functions in Liouville field theory and minimal. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 3, pp. 536-556. http://geodesic.mathdoc.fr/item/TMF_2008_154_3_a7/