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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 142, Number 2, Pages 218–234
DOI: https://doi.org/10.4213/tmf1777
(Mi tmf1777)
 

This article is cited in 72 scientific papers (total in 72 papers)

Three-point function in the minimal Liouville gravity

Al. B. Zamolodchikovab

a Institute for Theoretical and Experimental Physics
b Laboratoire de Physique Mathématique, Université Montpellier II, Montpellier, France
References:
Abstract: We revisit the problem of the structure constants of the operator product expansions in the minimal models of conformal field theory, rederiving these previously known constants and presenting them in a form particularly useful in Liouville gravity applications. We discuss the analytic relation between our expression and the structure constant in the Liouville field theory and also give the three- and two-point correlation numbers on the sphere in the minimal Liouville gravity in the general form.
Keywords: conformal field theory, Liouville gravity, minimal models.
English version:
Theoretical and Mathematical Physics, 2005, Volume 142, Issue 2, Pages 183–196
DOI: https://doi.org/10.1007/s11232-005-0048-3
Bibliographic databases:
Language: Russian
Citation: Al. B. Zamolodchikov, “Three-point function in the minimal Liouville gravity”, TMF, 142:2 (2005), 218–234; Theoret. and Math. Phys., 142:2 (2005), 183–196
Citation in format AMSBIB
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\pages 183--196
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Linking options:
  • https://www.mathnet.ru/eng/tmf1777
  • https://doi.org/10.4213/tmf1777
  • https://www.mathnet.ru/eng/tmf/v142/i2/p218
  • This publication is cited in the following 72 articles:
    1. Julien Roussillon, “On the Virasoro fusion and modular kernels at any irrational central charge”, SciPost Phys., 17:5 (2024)  crossref
    2. Picco M. Santachiara R., “On the Cft Describing the Spin Clusters in 2D Potts Model”, J. Stat. Mech.-Theory Exp., 2022:2 (2022), 023102  crossref  isi
    3. A. A. Artemev, A. A. Belavin, “Five-point correlation numbers in minimal Liouville gravity”, JETP Letters, 116:9 (2022), 600–607  mathnet  crossref  crossref
    4. Damir Sadekov, “Generalization of 2D gravity with the simplest noninvariant states”, Phys. Rev. D, 105:12 (2022)  crossref
    5. Beatrix Mühlmann, “The two-sphere partition function from timelike Liouville theory at three-loop order”, J. High Energ. Phys., 2022:5 (2022)  crossref
    6. Yacine Ikhlef, Alexi Morin-Duchesne, “Fusion in the periodic Temperley-Lieb algebra and connectivity operators of loop models”, SciPost Phys., 12:1 (2022)  crossref
    7. A.A. Artemev, “Note on large-p limit of (2,2p + 1) minimal Liouville gravity and moduli space volumes”, Nuclear Physics B, 981 (2022), 115876  crossref
    8. Mertens T.G., Turiaci G.J., “Liouville Quantum Gravity - Holography, Jt and Matrices”, J. High Energy Phys., 2021, no. 1, 73  crossref  mathscinet  isi
    9. Turiaci G.J. Usatyuk M. Weng W.W., “2D Dilaton-Gravity, Deformations of the Minimal String, and Matrix Models”, Class. Quantum Gravity, 38:20 (2021), 204001  crossref  mathscinet  isi
    10. Muhlmann B., “The Two-Sphere Partition Function in Two-Dimensional Quantum Gravity At Fixed Area”, J. High Energy Phys., 2021, no. 9, 189  crossref  mathscinet  isi
    11. Anninos D. Bautista T. Muhlmann B., “The Two-Sphere Partition Function in Two-Dimensional Quantum Gravity”, J. High Energy Phys., 2021, no. 9, 116  crossref  mathscinet  isi
    12. Nemkov N., Ribault S., “Analytic Conformal Bootstrap and Virasoro Primary Fields in the Ashkin-Teller Model”, SciPost Phys., 11:5 (2021), 089  crossref  mathscinet  isi
    13. Kapec D., Mahajan R., “Comments on the Quantum Field Theory of the Coulomb Gas Formalism”, J. High Energy Phys., 2021, no. 4, 136  crossref  mathscinet  isi  scopus
    14. Garban Ch., Holden N., Sepulveda A., Sun X., “Liouville Dynamical Percolation”, Probab. Theory Relat. Field, 180:3-4 (2021), 621–678  crossref  mathscinet  isi
    15. Mertens T.G., “Degenerate Operators in Jt and Liouville (Super)Gravity”, J. High Energy Phys., 2021, no. 4, 245  crossref  mathscinet  isi  scopus
    16. Penedones J., Silva J.A., Zhiboedov A., “Nonperturbative Mellin Amplitudes: Existence, Properties, Applications”, J. High Energy Phys., 2020, no. 8, 031  crossref  mathscinet  isi
    17. Anninos D. Muhlmann B., “Notes on Matrix Models (Matrix Musings)”, J. Stat. Mech.-Theory Exp., 2020:8 (2020), 083109  crossref  mathscinet  isi
    18. Coman I., Pomoni E., Teschner J., “Trinion Conformal Blocks From Topological Strings”, J. High Energy Phys., 2020, no. 9, 78  crossref  mathscinet  isi
    19. Gorbenko V., Zan B., “Two-Dimensional O(N) Models and Logarithmic Cfts”, J. High Energy Phys., 2020, no. 10, 99  crossref  mathscinet  isi  scopus
    20. Gwynne E. Holden N. Pfeffer J. Remy G., “Liouville Quantum Gravity With Matter Central Charge in (1,25): a Probabilistic Approach”, Commun. Math. Phys., 376:2 (2020), 1573–1625  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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