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Correlation functions in Liouville theory
Abstract
We show that after integrating over the zero mode in Liouville correlation functions, the remaining functional integral resembles a free theory and may be evaluated by formally continuing the central charge. We apply this technique to the unitary minimal models coupled to gravity on the sphere, computing a number of three-point functions. After taking into account the normalizations of operators and the functional integral, we find exact agreement between the Liouville three-point functions and the results from matrix models.
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Citations
Cites
Exactly solvable field theories of closed strings
Brézin, E., & Kazakov, V. A. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90818-q · Cited by 1,211
Strings in less than one dimension
Douglas, M. R., & Shenker, S. H. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90522-f · Cited by 1,103
Cited by
2D gravity and random matrices
Francesco, P. D., Ginsparg, P., & Zinn-Justin, J. (1995) · Physics Reports · doi:10.1016/0370-1573(94)00084-g · Cited by 1,332
LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION
NAKAYAMA, Y. (2004) · International Journal of Modern Physics A · doi:10.1142/s0217751x04019500 · Cited by 371
On the Liouville three-point function
Teschner, J. (1995) · Physics Letters B · doi:10.1016/0370-2693(95)01200-a · Cited by 265
2D dilaton-gravity, deformations of the minimal string, and matrix models
Turiaci, G. J., Usatyuk, M., & Weng, W. W. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac25df · Cited by 73
Balthazar, B., Giveon, A., Kutasov, D., & Martinec, E. J. (2022) · Journal of High Energy Physics · doi:10.1007/jhep01(2022)008 · Cited by 3
Metadata
- Authors
- Goulian, M., & Li, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1991-04-22
- Volume
- 66
- Issue
- 16
- Pages
- 2051-2055
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1985873567
- Cited by
- 284
- References
- 2
- FWCI
- 20.66
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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