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TMF, 2006, Volume 146, Number 1, Pages 132–145 (Mi tmf2014)  

This article is cited in 25 scientific papers (total in 25 papers)

Bulk Correlation Functions in 2d Quantum Gravity

I. K. Kostova, V. B. Petkovab

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

Abstract: We compute the bulk three- and four-point tachyon correlators in the 2d Liouville gravity with a nonrational matter central charge $c < 1$, 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 $ADE$ 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

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

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English version:
Theoretical and Mathematical Physics, 2006, 146:1, 108–118

Bibliographic databases:

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

Citation in format AMSBIB
\by I.~K.~Kostov, V.~B.~Petkova
\paper Bulk Correlation Functions in 2d Quantum Gravity
\jour TMF
\yr 2006
\vol 146
\issue 1
\pages 132--145
\jour Theoret. and Math. Phys.
\yr 2006
\vol 146
\issue 1
\pages 108--118

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    This publication is cited in the following articles:
    1. A. A. Belavin, Al. B. Zamolodchikov, “Integrals over moduli spaces, ground ring, and four-point function in minimal Liouville gravity”, Theoret. and Math. Phys., 147:3 (2006), 729–754  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. Sahakyan D.A., Takayanagi T., “On the connection between N=2 minimal string and (1, n) bosonic minimal string”, Journal of High Energy Physics, 2006, no. 6, 027  crossref  mathscinet  zmath  isi  scopus  scopus
    3. Kostov IK, Petkova VB, “Non-rational 2D quantum gravity: I. World sheet CFT”, Nuclear Physics B, 770:3 (2007), 273–331  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    4. Fateev VA, Litvinov AV, “Coulomb integrals in Liouville theory and Liouville gravity”, JETP Letters, 84:10 (2007), 531–536  mathnet  crossref  adsnasa  isi  scopus  scopus
    5. V. A. Fateev, A. V. Litvinov, “Multipoint correlation functions in Liouville field theory and minimal Liouville gravity”, Theoret. and Math. Phys., 154:3 (2008), 454–472  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    6. Giribet, G, “Comment on three-point function in AdS(3)/CFT(2)”, Journal of Mathematical Physics, 50:4 (2009), 042304  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    7. Harlow D., Maltz J., Witten E., “Analytic continuation of Liouville theory”, Journal of High Energy Physics, 2011, no. 12, 071  crossref  mathscinet  zmath  isi  scopus  scopus
    8. Giribet G., “Timelike Liouville Three-Point Function”, Phys. Rev. D, 85:8 (2012), 086009  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    9. Picco M., Santachiara R., Viti J., Delfino G., “Connectivities of Potts Fortuin-Kasteleyn Clusters and Time-Like Liouville Correlator”, Nucl. Phys. B, 875:3 (2013), 719–737  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    10. Bender C.M., Hook D.W., Mavromatos N.E., Sarkar S., “Infinite Class of Pt-Symmetric Theories From One Timelike Liouville Lagrangian”, Phys. Rev. Lett., 113:23 (2014), 231605  crossref  adsnasa  isi  scopus  scopus
    11. Martinec E.J., Moore W.E., “Modeling Quantum Gravity Effects in Inflation”, J. High Energy Phys., 2014, no. 7, 053  crossref  isi  scopus  scopus
    12. Santachiara R., Viti J., “Local Logarithmic Correlators as Limits of Coulomb Gas Integrals”, Nucl. Phys. B, 882 (2014), 229–262  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    13. Belavin V., “Correlation Functions in Unitary Minimal Liouville Gravity and Frobenius Manifolds”, J. High Energy Phys., 2015, no. 2, 052  crossref  mathscinet  isi  scopus  scopus
    14. Ribault S., Santachiara R., “Liouville Theory With a Central Charge Less Than One”, J. High Energy Phys., 2015, no. 8, 109  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    15. Furlan P., Petkova V.B., “On some 3-point functions in the W 4 CFT and related braiding matrix”, J. High Energy Phys., 2015, no. 12, 079, 1–23  crossref  mathscinet  isi  elib  scopus
    16. Bautista T. Dabholkar A., “Quantum cosmology near two dimensions”, Phys. Rev. D, 94:4 (2016), 044017  crossref  mathscinet  isi  elib  scopus
    17. Dotsenko V.S., “Analytic continuations of 3-point functions of the conformal field theory”, Nucl. Phys. B, 907 (2016), 208–248  crossref  mathscinet  zmath  isi  elib  scopus
    18. Ikhlef Ya., Jacobsen J.L., Saleur H., Phys. Rev. Lett., 116:13 (2016), 130601  crossref  mathscinet  isi  elib  scopus
    19. Giribet G., Rado L., “On Non-Homogeneous Tachyon Condensation in Closed String Theory”, J. High Energy Phys., 2017, no. 8, 015  crossref  mathscinet  isi  scopus  scopus
    20. Dupic T., Estienne B., Ikhlef Y., “The Imaginary Toda Field Theory”, J. Phys. A-Math. Theor., 52:10 (2019), 105201  crossref  isi  scopus
    21. 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  crossref  mathscinet  isi
    22. Kupiainen A., Rhodes R., Vargas V., “Local Conformal Structure of Liouville Quantum Gravity”, Commun. Math. Phys., 371:3 (2019), 1005–1069  crossref  mathscinet  isi
    23. Bautista T., Dabholkar A., Erbin H., “Quantum Gravity From Timelike Liouville Theory”, J. High Energy Phys., 2019, no. 10, 284  crossref  mathscinet  isi
    24. Bautista T., Erbin H., Kudrna M., “Brst Cohomology of Timelike Liouville Theory”, J. High Energy Phys., 2020, no. 5, 029  crossref  mathscinet  isi
    25. 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  crossref  mathscinet  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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