I. K. Kostov, V. B. Petkova, “Bulk Correlation Functions in 2d Quantum Gravity”, TMF, 146:1 (2006), 132–145; Theoret. and Math. Phys., 146:1 (2006), 108

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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 146, Number 1, Pages 132–145
DOI: https://doi.org/10.4213/tmf2014 (Mi tmf2014)

This article is cited in 38 scientific papers (total in 38 papers)

Bulk Correlation Functions in 2d Quantum Gravity

I. K. Kostov^a, V. B. Petkova^b

^a CEA, Service de Physique Théorique
^b Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences

Full-text PDF (247 kB) Citations (38)

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DOI: https://doi.org/10.4213/tmf2014

Abstract: We compute the bulk three- and four-point tachyon correlators in the 2d Liouville gravity with a nonrational matter central charge

c < 1

$c < 1$ , using and comparing two approaches. The continuous CFT approach exploits the action on the tachyons of the ground-ring generators deformed with Liouville and matter screening charges. We derive a general formula for the matter three-point OPE structure constants as a by-product. The discrete formulation of the theory is a generalization of the

A D E

$ADE$ string theories, in which the target space is the semi-infinite chain of points.

Keywords: noncritical strings, conformal field theory, two-dimensional gravity, loop gas.

English version:
Theoretical and Mathematical Physics, 2006, Volume 146, Issue 1, Pages 108–118
DOI: https://doi.org/10.1007/s11232-006-0011-y

Bibliographic databases:

Language: Russian

Citation: I. K. Kostov, V. B. Petkova, “Bulk Correlation Functions in 2d Quantum Gravity”, TMF, 146:1 (2006), 132–145; Theoret. and Math. Phys., 146:1 (2006), 108–118

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https://doi.org/10.4213/tmf2014

https://www.mathnet.ru/eng/tmf/v146/i1/p132

This publication is cited in the following 38 articles:

Leszek Hadasz, Błażej Ruba, “Decomposition of $\widehat{\mathfrak {sl}_2} _{,k} \ \oplus \ \widehat{\mathfrak {sl}_2} _{,1}$ Highest Weight Representations for Generic Level k and Equivalence Between Two-Dimensional CFT Models”, Commun. Math. Phys., 406:4 (2025)
Eoin Dowd, Gaston Giribet, “Time-dependent backgrounds from marginal deformations of minimal strings in AdS3”, Phys. Rev. D, 109:6 (2024)
Scott Collier, Lorenz Eberhardt, Beatrix Muehlmann, Victor A. Rodriguez, “The Virasoro minimal string”, SciPost Phys., 16:2 (2024)
Victor A. Rodriguez, “A two-dimensional string cosmology”, J. High Energ. Phys., 2023:6 (2023)
Victor A. Rodriguez, “The torus one-point diagram in two-dimensional string cosmology”, J. High Energ. Phys., 2023:7 (2023)
Scott Collier, Lorenz Eberhardt, Mengyang Zhang, “Solving 3d gravity with Virasoro TQFT”, SciPost Phys., 15:4 (2023)
Picco M., Santachiara R., “On the Cft Describing the Spin Clusters in 2D Potts Model”, J. Stat. Mech.-Theory Exp., 2022:2 (2022), 023102
Beatrix Mühlmann, “The two-sphere partition function from timelike Liouville theory at three-loop order”, J. High Energ. Phys., 2022:5 (2022)
Teresa Bautista, Aditya Bawane, “Boundary timelike Liouville theory: Bulk one-point and boundary two-point functions”, Phys. Rev. D, 106:12 (2022)
Yacine Ikhlef, Alexi Morin-Duchesne, “Fusion in the periodic Temperley-Lieb algebra and connectivity operators of loop models”, SciPost Phys., 12:1 (2022)
Gaston Giribet, Matías Leoni, “2D quantum gravity partition function on the fluctuating sphere”, J. High Energ. Phys., 2022:9 (2022)
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
Anninos D., Bautista T., Muhlmann B., “The Two-Sphere Partition Function in Two-Dimensional Quantum Gravity”, J. High Energy Phys., 2021, no. 9, 116
Bautista T., Erbin H., Kudrna M., “Brst Cohomology of Timelike Liouville Theory”, J. High Energy Phys., 2020, no. 5, 029
Javerzat N., Picco M., Santachiara R., “Three- and Four-Point Connectivities of Two-Dimensional Critical Q-Potts Random Clusters on the Torus”, J. Stat. Mech.-Theory Exp., 2020:5 (2020), 053106
Dupic T., Estienne B., Ikhlef Y., “The Imaginary Toda Field Theory”, J. Phys. A-Math. Theor., 52:10 (2019), 105201
Dupic T., Estienne B., Ikhlef Y., “Three-Point Functions in the Fully Packed Loop Model on the Honeycomb Lattice”, J. Phys. A-Math. Theor., 52:20 (2019), 205003
Kupiainen A., Rhodes R., Vargas V., “Local Conformal Structure of Liouville Quantum Gravity”, Commun. Math. Phys., 371:3 (2019), 1005–1069
Bautista T., Dabholkar A., Erbin H., “Quantum Gravity From Timelike Liouville Theory”, J. High Energy Phys., 2019, no. 10, 284
Giribet G., Rado L., “On Non-Homogeneous Tachyon Condensation in Closed String Theory”, J. High Energy Phys., 2017, no. 8, 015

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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