Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 371

The DOI matches its Crossref record; 293 of the 293 references it cites were found in a registry or an index.

LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION

Open access
NAKAYAMA, YU·2004·International Journal of Modern Physics A

Abstract

We review recent developments (up to January 2004) of the Liouville field theory and its matrix model dual. This review consists of two parts. In part I, we review the bosonic Liouville theory. After briefly reviewing the necessary background, we discuss the bulk structure constants (the DOZZ formula) and the boundary states (the FZZT brane and the ZZ brane). Various applications are also presented. In part II, we review the supersymmetric extension of the Liouville theory. We first discuss the bulk structure constants and the branes as in the bosonic Liouville theory, and then we present the matrix dual descriptions with some applications. This review also includes some original material such as the derivation of the conjectured dual action for the [Formula: see text] Liouville theory from other known dualities.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1142/s0217751x04019500

Cites

293 of 293 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 293 references

Research works printed but not linked: 53

  1. 10.1143/PTP.102.319 · doi:10.1143/ptp.102.319 · Paper page
  2. Distler J., Int. J. Mod. Phys., 5, 1093, 10.1142/S0217751X90000507 · doi:10.1142/s0217751x90000507
  3. Dijkgraaf R., Nucl. Phys., 394, 356, 10.1016/0550-3213(93)90019-L · doi:10.1016/0550-3213(93)90019-l
  4. Lutzen J., 1990, Studies in the History of Mathematics and Physical Sciences, 15
  5. Ponsot B., J. High Energy Phys., 02, 016
  6. 10.1006/aphy.1999.5951 · doi:10.1006/aphy.1999.5951
  7. O'Raifeartaigh L., Phys. Lett., 461, 66, 10.1016/S0370-2693(99)00816-3 · doi:10.1016/s0370-2693(99)00816-3
  8. O'Raifeartaigh L., Phys. Lett., 481, 436, 10.1016/S0370-2693(00)00448-2 · doi:10.1016/s0370-2693(00)00448-2
  9. 10.1007/BF02099397 · doi:10.1007/bf02099397
  10. Hosomichi K., J. High Energy Phys., 11, 044
  11. Giveon A., J. High Energy Phys., 10, 035
  12. Takayanagi T., J. High Energy Phys., 07, 064
  13. Klebanov I. R., J. High Energy Phys., 07, 045
  14. Sen A., J. High Energy Phys., 07, 065
  15. Minahan J. A., Int. J. Mod. Phys., 8, 3599, 10.1142/S0217751X93001466 · doi:10.1142/s0217751x93001466
  16. Kazakov V. A., Nucl. Phys., 386, 520, 10.1016/0550-3213(92)90629-P · doi:10.1016/0550-3213(92)90629-p
  17. Avan J., Nucl. Phys., 469, 287, 10.1016/0550-3213(96)00147-2 · doi:10.1016/0550-3213(96)00147-2
  18. Avan J., Nucl. Phys., 486, 650, 10.1016/S0550-3213(96)00663-3 · doi:10.1016/s0550-3213(96)00663-3
  19. Sen A., J. High Energy Phys., 04, 048
  20. Karczmarek J. L., J. High Energy Phys., 11, 042
  21. Larsen F., High Energy Phys., 02, 039
  22. Witten E., Phys. Rev., 44, 314
  23. Bershadsky M., Phys. Lett., 266, 345, 10.1016/0370-2693(91)91050-6 · doi:10.1016/0370-2693(91)91050-6
  24. Fukuda T., J. High Energy Phys., 09, 003
  25. Alexandrov S. Y., J. High Energy Phys., 09, 057
  26. Polchinski J., Phys. Rev., 50, 6041
  27. Distler J., Int. J. Mod. Phys., 5, 391, 10.1142/S0217751X90000180 · doi:10.1142/s0217751x90000180
  28. Green M. B., Nucl. Phys., 299, 559, 10.1016/0550-3213(88)90549-4 · doi:10.1016/0550-3213(88)90549-4
  29. Nam S.-K., Phys. Lett., 172, 323, 10.1016/0370-2693(86)90261-3 · doi:10.1016/0370-2693(86)90261-3
  30. Dalley S., Mod. Phys. Lett., 7, 1651, 10.1142/S0217732392001348 · doi:10.1142/s0217732392001348
  31. DeWolfe O., J. High Energy Phys., 11, 012
  32. 10.1007/BF00402253 · doi:10.1007/bf00402253
  33. Ketov S. V., Phys. Lett., 377, 48, 10.1016/0370-2693(96)00332-2 · doi:10.1016/0370-2693(96)00332-2
  34. Murthy S., J. High Energy Phys., 11, 056
  35. Baseilhac P., Mod. Phys. Lett., 13, 937, 10.1142/S0217732398001017 · doi:10.1142/s0217732398001017
  36. Baseilhac P., Nucl. Phys., 532, 567, 10.1016/S0550-3213(98)00525-2 · doi:10.1016/s0550-3213(98)00525-2
  37. Aharony O., J. High Energy Phys., 10, 004
  38. Giveon A., J. High Energy Phys., 10, 034
  39. Giveon A., J. High Energy Phys., 01, 023
  40. Eguchi T., Nucl. Phys., 577, 3, 10.1016/S0550-3213(00)00150-4 · doi:10.1016/s0550-3213(00)00150-4
  41. Miki K., Int. J. Mod. Phys., 5, 1293, 10.1142/S0217751X90000593 · doi:10.1142/s0217751x90000593
  42. Sugawara Y., J. High Energy Phys., 08, 008
  43. Giveon A., J. High Energy Phys., 10, 025
  44. Kazama Y., Phys. Lett., 216, 112, 10.1016/0370-2693(89)91378-6 · doi:10.1016/0370-2693(89)91378-6
  45. Hori K., J. High Energy Phys., 08, 045
  46. Tong D., J. High Energy Phys., 04, 031
  47. Sugiyama K., J. High Energy Phys., 02, 015
  48. Recknagel A., Nucl. Phys., 531, 185, 10.1016/S0550-3213(98)00468-4 · doi:10.1016/s0550-3213(98)00468-4
  49. Whitakker E. T., 1997, A Course of Modern Analysis
  50. Barnes E. W., Trans. Cambridge Philos. Soc., 19, 374
  51. Shintani T., J. Fac. Sci. Univ. Tokyo, 24, 167
  52. Kurokawa N., Technical Report of Tsuda University, 4, 1
  53. Jimbo M., J. Phys., 29, 2923

Cited by

See all 371

Metadata

Authors
NAKAYAMA, Y.
Venue
International Journal of Modern Physics A
Published
2004-07-20
Volume
19
Issue
17n18
Pages
2771-2930
ISSN
  • 0217-751X (ISSN-L)
  • 1793-656X
OpenAlex
W2131059213
Cited by
371
References
293
FWCI
15.51
Type
journal article
Language
en
Open access
green

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION. https://app.cochat.ai/papers/10.1142/s0217751x04019500
The paper
NAKAYAMA, Y. (2004). LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION. International Journal of Modern Physics A. https://doi.org/10.1142/s0217751x04019500

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.