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Two- and three-point functions in Liouville theory
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Abstract Based on our generalization of the Goulian-Li continuation in the power of the 2D cosmological term we construct the two- and three-point correlation functions for Liouville exponentials with generic real coefficients. As a strong argument in favour of the procedure we prove the Liouville equation of motion on the level of three-point functions. The analytical structure of the correlation functions as well as some of its consequences for string theory are discussed. This includes a conjecture on the mass shell condition for excitations of noncritical strings. We also make a comment concerning the correlation functions of the Liouville field itself.
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Cited by
LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION
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Solving the Schwarzian via the conformal bootstrap
Mertens, T. G., Turiaci, G. J., & Verlinde, H. L. (2017) · Journal of High Energy Physics · doi:10.1007/jhep08(2017)136 · Cited by 357
On the Liouville three-point function
Teschner, J. (1995) · Physics Letters B · doi:10.1016/0370-2693(95)01200-a · Cited by 265
A universal Schwarzian sector in two-dimensional conformal field theories
Ghosh, A., Maxfield, H., & Turiaci, G. J. (2020) · Journal of High Energy Physics · doi:10.1007/jhep05(2020)104 · Cited by 135
Universal dynamics of heavy operators in CFT2
Collier, S., Maloney, A., Maxfield, H., & Tsiares, I. (2020) · Journal of High Energy Physics · doi:10.1007/jhep07(2020)074 · Cited by 94
Metadata
- Authors
- Dorn, H., & Otto, H.-J.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1994-10
- Volume
- 429
- Issue
- 2
- Pages
- 375-388
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2154851836
- Cited by
- 469
- References
- 0
- FWCI
- 3.69
- Type
- journal article
- Language
- en
- Open access
- green
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- Dorn, H., & Otto, H.-J. (1994). Two- and three-point functions in Liouville theory. Nuclear Physics B. https://doi.org/10.1016/0550-3213(94)00352-1
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